Finding the Third Proportional to 31,624 and 67,142

Step by Step Solution

1. Step 1: Write the proportion equation
   31,624 : 67,142 = 67,142 : x
2. Step 2: Convert to fraction form
   31,624/67,142 = 67,142/x
3. Step 3: Cross multiply
   31,624x = 67,142 × 67,142
4. Step 4: Simplify right side
   31,624x = 4,508,048,164
5. Step 5: Solve for x
   x = 4,508,048,164/31,624
6. Step 6: Final answer
   x = 142,551.49