cross-

From Middle English cros-, crosse- (“relating to a cross, forming a cross, in the shape of a cross or x”), from the noun (see cross) and also from across.

cross-

1. Expressing mutuality or exchange; switch.
2. Across.
   • 1967 May, William F. Nolan, George Clayton Johnson, Logan's Run, Bantam, published 1976, →ISBN, page 14:

     The room was a cross-mixture of voices.
     "Come in Kelly 4. […] "
     "Come in Stanhope. […] "
     "Evans 9. Confirm. […] "

3. Indicating applicability to several domains that are usually separate (as in crossclass, crosslinguistic, cross-platform).

• (mutual): inter-, x- (abbreviation)

• “cross-”, in Lexico, Dictionary.com; Oxford University Press, 2019–2022.