Finding the Third Proportional to 2,562.47 and 3,831.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.47 : 3,831.05 = 3,831.05 : x
2. Step 2: Convert to fraction form
   2,562.47/3,831.05 = 3,831.05/x
3. Step 3: Cross multiply
   2,562.47x = 3,831.05 × 3,831.05
4. Step 4: Simplify right side
   2,562.47x = 14,676,920.16
5. Step 5: Solve for x
   x = 14,676,920.16/2,562.47
6. Step 6: Final answer
   x = 5,727.65