From Longman Dictionary of Contemporary Englishmiddle-rankingˌmiddle-ˈranking adjective having a responsible job or position, but not among the most important people in a company middle-ranking officers and bureaucrats
Examples from the Corpus
middle-ranking• The number of committed liberals among the middle-ranking landowners who dominated the zemstvos was not large.• Yet the symptoms of decline were tangible and created a growing sense of embattlement among middle-ranking landowners.• This policy was associated with the radical Arab nationalism of the middle-ranking military officers who had carried out the June 1989 coup.• The stocky, pixie-faced minister realised he was unlikely to move beyond his middle-ranking position in the Tory hierarchy.• In relative terms, Britain was shown to be a middle-ranking power with her ability to take independent military action strictly limited.• Even the middle-ranking provincial posts continued to attract humbler noblemen who often took them up after retiring from the army. 