Answer
$3.9Km$
Work Step by Step
We know that
$\frac{d_{nucleus}}{d_{atom}}=\frac{d_{baseball}}{r_{electron }}$
This can be rearranged as:
$r_{electron}=\frac{d_{baseball}}{d_{nucleus}}(r_{atom})$
We plug in the known values to obtain:
$r_{electron}=\frac{7.3\times 10^{-2}}{1.00\times 10^{-15}}(5.3\times 10^{-11})$
$r_{electron}=3.9Km$