Finding the Third Proportional to 31,689 and 67,264.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,689 : 67,264.88 = 67,264.88 : x
2. Step 2: Convert to fraction form
   31,689/67,264.88 = 67,264.88/x
3. Step 3: Cross multiply
   31,689x = 67,264.88 × 67,264.88
4. Step 4: Simplify right side
   31,689x = 4,524,563,408.77
5. Step 5: Solve for x
   x = 4,524,563,408.77/31,689
6. Step 6: Final answer
   x = 142,780.25