Finding the Third Proportional to 31,853 and 67,498

Step by Step Solution

1. Step 1: Write the proportion equation
   31,853 : 67,498 = 67,498 : x
2. Step 2: Convert to fraction form
   31,853/67,498 = 67,498/x
3. Step 3: Cross multiply
   31,853x = 67,498 × 67,498
4. Step 4: Simplify right side
   31,853x = 4,555,980,004
5. Step 5: Solve for x
   x = 4,555,980,004/31,853
6. Step 6: Final answer
   x = 143,031.43