Clarification needed regarding average power through a load

The question for the following circuit was to find the average power through the load $Z_{L}$.

The first and second image shows that $I_{2}$ and $V_{2}$ were found. I assumed that the average power through the load could be then found by the formula:

$$I_{2(rms)}*V_{2(rms)} * cos(18.43 + 45)$$

However, this appears to yield a different answer to that obtained in the image, where the average power is found directly via the resistor and $P = 62.51W$ is obtained:

Could someone please explain why this is the case?