Bilbo deposits $$700$ every quarter for $15$ years into Bank A earning $5\mathrm{.}61\%/$year interest.

Then he withdraws $40\%$ of the money in Bank A $($keeps the rest of the money still in Bank

A but stops the deposits$)$ and deposit into Bank B that pays interest compounded

bimonthly for the next $78$ months. What should be the annual interest rate at Bank B in

order for Bilbo to have a total of $$95,000$ in both of his bank accounts?