Finding the Third Proportional to 31,384 and 67,040

Step by Step Solution

1. Step 1: Write the proportion equation
   31,384 : 67,040 = 67,040 : x
2. Step 2: Convert to fraction form
   31,384/67,040 = 67,040/x
3. Step 3: Cross multiply
   31,384x = 67,040 × 67,040
4. Step 4: Simplify right side
   31,384x = 4,494,361,600
5. Step 5: Solve for x
   x = 4,494,361,600/31,384
6. Step 6: Final answer
   x = 143,205.51