Finding the Third Proportional to 31,884 and 67,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,884 : 67,416 = 67,416 : x
2. Step 2: Convert to fraction form
   31,884/67,416 = 67,416/x
3. Step 3: Cross multiply
   31,884x = 67,416 × 67,416
4. Step 4: Simplify right side
   31,884x = 4,544,917,056
5. Step 5: Solve for x
   x = 4,544,917,056/31,884
6. Step 6: Final answer
   x = 142,545.39