Finding the Third Proportional to 31,540 and 49,470

Step by Step Solution

1. Step 1: Write the proportion equation
   31,540 : 49,470 = 49,470 : x
2. Step 2: Convert to fraction form
   31,540/49,470 = 49,470/x
3. Step 3: Cross multiply
   31,540x = 49,470 × 49,470
4. Step 4: Simplify right side
   31,540x = 2,447,280,900
5. Step 5: Solve for x
   x = 2,447,280,900/31,540
6. Step 6: Final answer
   x = 77,592.93