Finding the Third Proportional to 42,414 and 67,150

Step by Step Solution

1. Step 1: Write the proportion equation
   42,414 : 67,150 = 67,150 : x
2. Step 2: Convert to fraction form
   42,414/67,150 = 67,150/x
3. Step 3: Cross multiply
   42,414x = 67,150 × 67,150
4. Step 4: Simplify right side
   42,414x = 4,509,122,500
5. Step 5: Solve for x
   x = 4,509,122,500/42,414
6. Step 6: Final answer
   x = 106,312.13