'proadministration' is a modern English compound formed from the prefix 'pro-' (from Latin 'pro', meaning 'for') and 'administration' (from Latin 'administratio').

'administration' comes from Latin 'administratio' (management, service), passed into Old French and Middle English (e.g. Middle English 'administracioun') and developed into modern English 'administration'; the compound 'proadministration' is a recent formation by prefixing 'pro-' to denote support.

Initially, 'administration' meant 'management' or 'service' in Latin; over time it came to refer to a government or executive body, and 'pro-' + 'administration' now denotes being 'for' or supportive of that body.