On the $4^{th}$ of December $2022,$ the price for the $6\mathrm{.}5\%,{21}^{st}$ of July $2035$ bond was $$98\mathrm{.}250.$ Calculate the implied yield to maturity for this bond assuming semi$-$annual coupons and a face value of $$100.$

Please give your answer correctly to $4$ decimal places. Express your answer as a percentage $($i$.$e$.6\mathrm{.}4512$ not $0\mathrm{.}0645),$ with no need for the percentage $(\%)$ sign.