From the above question,

${\text{(76.32)}}^{\text{2}}-{(28.82)}^{\text{2}}\text{=?}$

We can simplify this as,

$\begin{array}{l}{\text{= (76.32)}}^{\text{2}}-{(28.82)}^{\text{2}}\\ \\ \text{= (76.32 + 28.82)(76.32 - 28.82)}\\ \\ \therefore [{\text{a}}^{\text{2}}-{\text{b}}^{\text{2}}\text{=(a+ b)(a}-\text{b)}]\\ \\ \text{= (105.14)×(47.5)= 4994.15}\end{array}$

Hence, Option C is correct.