Finding the Third Proportional to 31,642 and 67,374

Step by Step Solution

1. Step 1: Write the proportion equation
   31,642 : 67,374 = 67,374 : x
2. Step 2: Convert to fraction form
   31,642/67,374 = 67,374/x
3. Step 3: Cross multiply
   31,642x = 67,374 × 67,374
4. Step 4: Simplify right side
   31,642x = 4,539,255,876
5. Step 5: Solve for x
   x = 4,539,255,876/31,642
6. Step 6: Final answer
   x = 143,456.67