Answer
$$\left(\frac{11}{2},\:6\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(8-3\right)^2+\left(7-5\right)^2}\\ \sqrt{29}$$
Using the midpoint formula, we find:
$$\left(\frac{8+3}{2},\:\frac{7+5}{2}\right)\\ \left(\frac{11}{2},\:6\right)$$
