Finding the Third Proportional to 31,491 and 65,655

Step by Step Solution

1. Step 1: Write the proportion equation
   31,491 : 65,655 = 65,655 : x
2. Step 2: Convert to fraction form
   31,491/65,655 = 65,655/x
3. Step 3: Cross multiply
   31,491x = 65,655 × 65,655
4. Step 4: Simplify right side
   31,491x = 4,310,579,025
5. Step 5: Solve for x
   x = 4,310,579,025/31,491
6. Step 6: Final answer
   x = 136,882.89