Finding the Third Proportional to 31,884 and 67,414

Step by Step Solution

1. Step 1: Write the proportion equation
   31,884 : 67,414 = 67,414 : x
2. Step 2: Convert to fraction form
   31,884/67,414 = 67,414/x
3. Step 3: Cross multiply
   31,884x = 67,414 × 67,414
4. Step 4: Simplify right side
   31,884x = 4,544,647,396
5. Step 5: Solve for x
   x = 4,544,647,396/31,884
6. Step 6: Final answer
   x = 142,536.93