Kapur is six-under through 54 holes to be tied 16th and six shots behind the leaders, Chris Stroud (68) and Ryan Moore (69) at the only event co-sanctioned by Asian and PGA Tours.
Kapur is the third best Asian after Kiradech Aphibarnrat (69), who is tied third, and KJ Choi (70) who is tied 11th.
Asian hopes lie with Kiradech, who is just one behind the leaders. A win on Sunday will earn Kiradech a handsome cheque of USD 1.26 million, playing rights on the PGA TOUR for essentially the next three years, a place at the Masters Tournament next April plus a host of other invitations.
Kapur conceded he must erase the mental mistakes to overcome a six-shot deficit from leaders Stroud and Moore.
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"My goal is to go as low as I can. Obviously it is going to be tougher pins. They are going to make it as tough as possible. You want to try and make as many birdies. I haven't set myself any goals so it is just go out and shoot as low as I can and get to double digits," he added.
He traded two birdies against a bogey and another double bogey on 11th when his tee shot found water but is confident of shooting a low round & haul himself up on the leaderboard.
"I'm taking in the positives because I fought back well to give myself birdie chances. I birdied 14 and 16, so am feeling good about my game going into tomorrow. I know there's a low one in the bag somewhere," said Kapur.