Finding the Third Proportional to 31,177.50 and 67,686

Step by Step Solution

1. Step 1: Write the proportion equation
   31,177.50 : 67,686 = 67,686 : x
2. Step 2: Convert to fraction form
   31,177.50/67,686 = 67,686/x
3. Step 3: Cross multiply
   31,177.50x = 67,686 × 67,686
4. Step 4: Simplify right side
   31,177.50x = 4,581,394,596
5. Step 5: Solve for x
   x = 4,581,394,596/31,177.50
6. Step 6: Final answer
   x = 146,945.54