Finding the Third Proportional to 31,165 and 67,614

Step by Step Solution

1. Step 1: Write the proportion equation
   31,165 : 67,614 = 67,614 : x
2. Step 2: Convert to fraction form
   31,165/67,614 = 67,614/x
3. Step 3: Cross multiply
   31,165x = 67,614 × 67,614
4. Step 4: Simplify right side
   31,165x = 4,571,652,996
5. Step 5: Solve for x
   x = 4,571,652,996/31,165
6. Step 6: Final answer
   x = 146,691.90