Finding the Third Proportional to 31,866 and 65,325

Step by Step Solution

1. Step 1: Write the proportion equation
   31,866 : 65,325 = 65,325 : x
2. Step 2: Convert to fraction form
   31,866/65,325 = 65,325/x
3. Step 3: Cross multiply
   31,866x = 65,325 × 65,325
4. Step 4: Simplify right side
   31,866x = 4,267,355,625
5. Step 5: Solve for x
   x = 4,267,355,625/31,866
6. Step 6: Final answer
   x = 133,915.64