Tommy Fleetwood is dreaming of becoming the first English golfer to lift the Claret Jug since Nick Faldo in 1992.
Zach Johnson's wins were eight years apart - the Masters in 2007 and the British Open in 2015, and in both instances he came in under the radar.
The 37-year-old American tied Billy Horschel for the low round of the day to win the USPGA Tour tournament by one shot.
Johnson, the 2007 Masters champion, denied the world number one a sixth victory in the unofficial tournament he hosts for the benefit of his charitable foundation.
Tiger Woods birdied the fifth and 11th -- both par-fives -- but he missed a golden opportunity at 18 when he missed a four-foot birdie putt.
Phil Mickelson of the United States won his first British Open at Muirfield on Sunday by three strokes from Henrik Stenson of Sweden.
Kapur will leave Muirfield with his head held high after a dramatic week where he led briefly in the first round before settling for a 68.
Lee Westwood fired a 70 for a three-under total of 210 to lead by two from Tiger Woods, who had a 72, and Hunter Mahan, who had a 68, equalling the best round of the day at the British Open.
Kapur, who qualified for the tournament at the Local Final Qualifying in Dunbar two weeks ago, enjoyed a dream start when he briefly led at Muirfield courtesy of a sensational 30 on the front nine.
The Thai star was a distance away from the early projected cut-off mark, but managed to make the grade right on eight over 150 when players late in the afternoon struggled with the tough scoring conditions at Muirfield.