Clad on hardwood floor to absorb noise

I have a project to reduce noise in museum that has old hardwood floor not to be removed. Surface: 10,500 sq ft.
What would be the best sound-absorbing material to put on that floor with plenty visitors walking on it?

I would contact a local representative of a flooring company.
Someone that would warranty the job for you professionally.

Cork flooring

Commercial grade carpeting.

Depends what final result they are looking for. Are they indicating they want the hardwood visible?

Need more details.

Both! Carpet for high traffic areas and cork for display areas. This way the carpet acts as a filter and cuts down on dust. The cork flooring reduces noise and increases sustainable appearance, plus if you install the carpet squares that interlock and floating cork then you can change things around easily.