Finding the Third Proportional to 31,754 and 67,882

Step by Step Solution

1. Step 1: Write the proportion equation
   31,754 : 67,882 = 67,882 : x
2. Step 2: Convert to fraction form
   31,754/67,882 = 67,882/x
3. Step 3: Cross multiply
   31,754x = 67,882 × 67,882
4. Step 4: Simplify right side
   31,754x = 4,607,965,924
5. Step 5: Solve for x
   x = 4,607,965,924/31,754
6. Step 6: Final answer
   x = 145,114.50