Afterwards he returned to Rockwell, serving as its vice president; during this period he also served as president of North American Aircraft Group,{{sfn|NASA, Myers|2004}} during which time the company developed the [[Rockwell B-1 Lancer]].{{sfn|EA, Myers}} Myers was Under Secretary at the [[U.S. Department of Energy|Department of Energy]] (1977–1979). For the five years, from 1979 to 1984, Myers served as president and COO of [[Jacobs Engineering Group]]; he then became a private consultant,{{sfn|NASA, Myers|2004}} operating his own company known as Dale D. Myers & Associates Aerospace and Energy.{{sfn|JSC, Dale Myers|1998}}
On October 6, 1986, eleven months after the [[Space Shuttle Challenger disaster|''Challenger'' disaster]], Myers was selected as [[Deputy Administrator of NASA]].{{sfn|Liberman, NASA engineer|2008}} Myers was initially unwilling to accept the position, but after a telephone call from the "persuasive" president [[Ronald Reagan]],{{sfn|University of Texas|1986}} Myers accepted the position.{{sfn|Reidy, Myers Vows|1986}} Replacing [[William Robert Graham]], he was tasked with helping the agency recoup and continue the Space Shuttle program;{{sfn|Liberman, NASA engineer|2008}} in a [[US Senate|Senate]] hearing, Myers argued that the agency had lost its "hands-on, loving care" and that the checks and balances system had "gone soft".{{sfn|Reidy, Myers Vows|1986}} He resigned effective May 13, 1989,{{sfn|NASA, Myers|2004}}{{sfn|Liberman, NASA engineer|2008}} having served as acting administrator in place of [[James C. Fletcher]] for almost a month.{{sfn|AP, Acting NASA|1989}} NASA historian [[Roger Launius]] credits Myers with bringing a sense of optimism to the agency following the disaster.{{sfn|Liberman, NASA engineer|2008}}
After leaving NASA Myers returned to private consulting, later becoming involved in the failed [[Kistler Aerospace]] program.{{sfn|EA, Myers}} Myers and his wife retired in [[La Costa, California]], near his two grown daughters, Janet and Barbara. He continued to speak publicly about the space program, including giving testimonial before [[United States Congress|Congress]] in 2003.{{sfn|Liberman, NASA engineer|2008}} Myers died on May 19, 2015, at La Costa Glen. He was survived by his daughters, five grandchildren, and three great-grandchildren.{{Sfn|Stone|2015}}