Finding the Third Proportional to 10,831.50 and 22,512.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,831.50 : 22,512.38 = 22,512.38 : x
2. Step 2: Convert to fraction form
   10,831.50/22,512.38 = 22,512.38/x
3. Step 3: Cross multiply
   10,831.50x = 22,512.38 × 22,512.38
4. Step 4: Simplify right side
   10,831.50x = 506,807,028.14
5. Step 5: Solve for x
   x = 506,807,028.14/10,831.50
6. Step 6: Final answer
   x = 46,790.11