Finding the Third Proportional to 31,515 and 64,605

Step by Step Solution

1. Step 1: Write the proportion equation
   31,515 : 64,605 = 64,605 : x
2. Step 2: Convert to fraction form
   31,515/64,605 = 64,605/x
3. Step 3: Cross multiply
   31,515x = 64,605 × 64,605
4. Step 4: Simplify right side
   31,515x = 4,173,806,025
5. Step 5: Solve for x
   x = 4,173,806,025/31,515
6. Step 6: Final answer
   x = 132,438.71