Finding the Third Proportional to 31,727 and 67,948

Step by Step Solution

1. Step 1: Write the proportion equation
   31,727 : 67,948 = 67,948 : x
2. Step 2: Convert to fraction form
   31,727/67,948 = 67,948/x
3. Step 3: Cross multiply
   31,727x = 67,948 × 67,948
4. Step 4: Simplify right side
   31,727x = 4,616,930,704
5. Step 5: Solve for x
   x = 4,616,930,704/31,727
6. Step 6: Final answer
   x = 145,520.56