Finding the Third Proportional to 12,831.75 and 31,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,831.75 : 31,641.75 = 31,641.75 : x
2. Step 2: Convert to fraction form
   12,831.75/31,641.75 = 31,641.75/x
3. Step 3: Cross multiply
   12,831.75x = 31,641.75 × 31,641.75
4. Step 4: Simplify right side
   12,831.75x = 1,001,200,343.06
5. Step 5: Solve for x
   x = 1,001,200,343.06/12,831.75
6. Step 6: Final answer
   x = 78,025.24