On June $30,$ Sharper Corporation's stockholders' equity section of its balance sheet appears as follows before any stock

dividend or split. Sharper declares and immediately distributes a $50\%$ stock dividend.

Assume that instead of distributing a stock dividend, Sharper did a $3-$for$-1$ stock split.

$(1)$ Prepare the updated stockholders' equity section after the split.

$(2)$ Compute the number of shares outstanding after the split.