Finding the Third Proportional to 31,747 and 69,138

Step by Step Solution

1. Step 1: Write the proportion equation
   31,747 : 69,138 = 69,138 : x
2. Step 2: Convert to fraction form
   31,747/69,138 = 69,138/x
3. Step 3: Cross multiply
   31,747x = 69,138 × 69,138
4. Step 4: Simplify right side
   31,747x = 4,780,063,044
5. Step 5: Solve for x
   x = 4,780,063,044/31,747
6. Step 6: Final answer
   x = 150,567.39