To fill in the blank for the equation \( \frac{2}{3} = \frac{x}{15} \), you can solve for \( x \) by cross-multiplying:
\[ 2 \times 15 = 3 \times x \]
This simplifies to:
\[ 30 = 3x \]
Now, divide both sides by 3:
\[ x = \frac{30}{3} = 10 \]
So, the blank can be filled as follows:
\[ \frac{2}{3} = \frac{10}{15} \]
Thus, \( 10 \) is the value you need to fill in.