Finding the Third Proportional to 31,416 and 67,190

Step by Step Solution

1. Step 1: Write the proportion equation
   31,416 : 67,190 = 67,190 : x
2. Step 2: Convert to fraction form
   31,416/67,190 = 67,190/x
3. Step 3: Cross multiply
   31,416x = 67,190 × 67,190
4. Step 4: Simplify right side
   31,416x = 4,514,496,100
5. Step 5: Solve for x
   x = 4,514,496,100/31,416
6. Step 6: Final answer
   x = 143,700.54