Finding the Third Proportional to 31,760 and 71,612

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760 : 71,612 = 71,612 : x
2. Step 2: Convert to fraction form
   31,760/71,612 = 71,612/x
3. Step 3: Cross multiply
   31,760x = 71,612 × 71,612
4. Step 4: Simplify right side
   31,760x = 5,128,278,544
5. Step 5: Solve for x
   x = 5,128,278,544/31,760
6. Step 6: Final answer
   x = 161,469.73