Finding the Third Proportional to 31,901 and 69,542

Step by Step Solution

1. Step 1: Write the proportion equation
   31,901 : 69,542 = 69,542 : x
2. Step 2: Convert to fraction form
   31,901/69,542 = 69,542/x
3. Step 3: Cross multiply
   31,901x = 69,542 × 69,542
4. Step 4: Simplify right side
   31,901x = 4,836,089,764
5. Step 5: Solve for x
   x = 4,836,089,764/31,901
6. Step 6: Final answer
   x = 151,596.81