Finding the Third Proportional to 31,060 and 41,382

Step by Step Solution

1. Step 1: Write the proportion equation
   31,060 : 41,382 = 41,382 : x
2. Step 2: Convert to fraction form
   31,060/41,382 = 41,382/x
3. Step 3: Cross multiply
   31,060x = 41,382 × 41,382
4. Step 4: Simplify right side
   31,060x = 1,712,469,924
5. Step 5: Solve for x
   x = 1,712,469,924/31,060
6. Step 6: Final answer
   x = 55,134.25