Finding the Third Proportional to 26,626 and 42,896

Step by Step Solution

1. Step 1: Write the proportion equation
   26,626 : 42,896 = 42,896 : x
2. Step 2: Convert to fraction form
   26,626/42,896 = 42,896/x
3. Step 3: Cross multiply
   26,626x = 42,896 × 42,896
4. Step 4: Simplify right side
   26,626x = 1,840,066,816
5. Step 5: Solve for x
   x = 1,840,066,816/26,626
6. Step 6: Final answer
   x = 69,107.90