Finding the Third Proportional to 31,780 and 41,792

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 41,792 = 41,792 : x
2. Step 2: Convert to fraction form
   31,780/41,792 = 41,792/x
3. Step 3: Cross multiply
   31,780x = 41,792 × 41,792
4. Step 4: Simplify right side
   31,780x = 1,746,571,264
5. Step 5: Solve for x
   x = 1,746,571,264/31,780
6. Step 6: Final answer
   x = 54,958.19