Finding the Third Proportional to 31,628 and 67,150

Step by Step Solution

1. Step 1: Write the proportion equation
   31,628 : 67,150 = 67,150 : x
2. Step 2: Convert to fraction form
   31,628/67,150 = 67,150/x
3. Step 3: Cross multiply
   31,628x = 67,150 × 67,150
4. Step 4: Simplify right side
   31,628x = 4,509,122,500
5. Step 5: Solve for x
   x = 4,509,122,500/31,628
6. Step 6: Final answer
   x = 142,567.42