To find the midpoint of a line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), you can use the midpoint formula:
\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
In this case, the endpoints are \( A(22, 66) \) and \( B(44, 88) \).
Substituting the coordinates into the formula:
\[ \text{Midpoint} = \left( \frac{22 + 44}{2}, \frac{66 + 88}{2} \right) \]
Calculating the \( x \)-coordinate of the midpoint:
\[ \frac{22 + 44}{2} = \frac{66}{2} = 33 \]
Calculating the \( y \)-coordinate of the midpoint:
\[ \frac{66 + 88}{2} = \frac{154}{2} = 77 \]
Therefore, the midpoint of the line segment is:
\[ \text{Midpoint} = (33, 77) \]
So, the final answer is:
(33, 77).