Greer attended high school in Albertville, Alabama before playing college baseball at the University of Montevallo. (Montevallo was the only college interested in Greer prior to a senior-year all-star game where he finally drew attention from larger schools; however, he chose to remain at Montevallo since they initially offered him a scholarship.) While at Montevallo, Greer was a Resident Assistant in Napier Hall. The Rangers made him their tenth-round pick (279th overall) in the 1990 amateur draft, and he spent the rest of the season playing for their rookie-level minor league club in Butte, Montana. He would spend all fifteen years of his professional baseball career in the Rangers organization, a feat that had become a rarity among professional ballplayers thanks to free agency.\n', '

At Butte, he batted .345 with an OPS of 1.032, which earned him a promotion to the Class A Florida State League the following season. He finished 1991 with the Class AA Tulsa Drillers in the Texas League; he stayed with Tulsa through 1992 and most of 1993, before being called up to the Class AAA Oklahoma City 89ers for eight games. He also started the 1994 season with the 89ers, batting .315 in 31 games, when he earned a call-up to the Rangers.\n', 'Rusty currently can be heard as a weekly guest on B.A.D. radio (The Bob and Dan Show) which airs 12:00-3:00 p.m. on 1310/96.7 KTCK "The Ticket" in Dallas, Tx. talking Texas Rangers baseball.\n', '

Greer continued his successful run at Oklahoma when he was called up to Texas, where he batted .314 with ten home runs in 80 games, including one in his second major-league at bat, thus becoming the second Ranger to accomplish this feat. (Rubén Sierra was the first on June 1, 1986 at Kansas City) He also played an integral part in baseball history against the Anaheim Angels on July 28, 1994, when he made a diving catch of Rex Hudler\'s fly ball to protect a perfect game by Kenny Rogers. Although that was one of the most significant catches he made in his career, he made many others like it, and his all-out style of play made him a fan favorite throughout his major-league career. Greer also caught Gary DiSarcina\'s fly ball for the game\'s final out.\n', '

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