The car bringing Cynthia Rodriguez, Alex’s wife, to Yankee Stadium was just parking when she heard the radio call of home run No. 500.

“I ran out of the car and saw him cross home plate,” said Mrs. Rodriguez before begging off any further interviews. “It’s typical of me, I miss all the good home runs.”

Typical of Scott Boras, who will conduct the greatest auction in baseball history if Rodriguez exercises his right to opt out of his contract and become a free agent this winter, the agent’s timing was only perfect. In the first game he attended on the 500 watch, Boras arrived from Southern California on the red-eye in time to see the first-inning homer.

“I thought the matchup [with Royals starter Kyle Davies] was pretty good,” Boras said, which was more than he would predict for the Yankees chances of keeping Rodriguez. Even if the agent did say something encouraging, if politic, about the player’s comfort level in New York.

“Alex has always been happy in New York,” Boras said. “Even in his worst times, he enjoyed the New York fans and environment.

“The hardest thing for Alex always is when he doesn’t perform at the level he thinks he should perform. What has made the process most comfortable is that Alex this offseason discovered a very repeatable swing that he has been able to stay within himself and go back to standards he worked on this offseason.

“I told him in spring training, ‘You really found something in your balance to make yourself consistent.’ New York was never the issue, it was his own drive to be a great player. And now he feels comfortable.”

As Boras will feel asking for $35 million a year or more for the youngest player to reach 500 homers and first in baseball history to record 35 homers, 100 RBIs and score 100 runs in 10 consecutive seasons.

“I put a book out about seven years ago,” said Boras, who used it to get the Rangers agree to pay Rodriguez $25 million a year. “He’s actually about 15 percent ahead of schedule where he thought he might go.

“Really, the most intriguing thing is that we have to look at him differently because he has followed since the age of 17 a very rigorous strength-and-conditioning program that current players began when they were in their 30s. His ability to play at a high level is something we will find unprecedented.

“He is not a power hitter in body type, that carries the bulk, and so the ligaments, the tendons and athleticism remain. The fact he can do this on the dirt, as an infielder, well you look at the 600-and-over club they are all outfielders.

“He’s not a home-run hitter. He’s an athlete who doesn’t have the stress and strain of hitting for power, just does it with natural athleticism. That’s why I think he can do it for a long, long time.

“Alex has options as to what he’s going to do and as such, as we usually do, he and Cynthia will come out and spend a few days in California and we’ll go from there. If Alex decides to opt out, we will talk at that time.”