Finding the Third Proportional to 31,250 and 67,684

Step by Step Solution

1. Step 1: Write the proportion equation
   31,250 : 67,684 = 67,684 : x
2. Step 2: Convert to fraction form
   31,250/67,684 = 67,684/x
3. Step 3: Cross multiply
   31,250x = 67,684 × 67,684
4. Step 4: Simplify right side
   31,250x = 4,581,123,856
5. Step 5: Solve for x
   x = 4,581,123,856/31,250
6. Step 6: Final answer
   x = 146,595.96