Finding the Third Proportional to 31,367 and 67,531

Step by Step Solution

1. Step 1: Write the proportion equation
   31,367 : 67,531 = 67,531 : x
2. Step 2: Convert to fraction form
   31,367/67,531 = 67,531/x
3. Step 3: Cross multiply
   31,367x = 67,531 × 67,531
4. Step 4: Simplify right side
   31,367x = 4,560,435,961
5. Step 5: Solve for x
   x = 4,560,435,961/31,367
6. Step 6: Final answer
   x = 145,389.61