Finding the Third Proportional to 9,832.50 and 10,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.50 : 10,831.50 = 10,831.50 : x
2. Step 2: Convert to fraction form
   9,832.50/10,831.50 = 10,831.50/x
3. Step 3: Cross multiply
   9,832.50x = 10,831.50 × 10,831.50
4. Step 4: Simplify right side
   9,832.50x = 117,321,392.25
5. Step 5: Solve for x
   x = 117,321,392.25/9,832.50
6. Step 6: Final answer
   x = 11,932.00