Finding the Third Proportional to 7,831.69 and 11,962.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,831.69 : 11,962.69 = 11,962.69 : x
2. Step 2: Convert to fraction form
   7,831.69/11,962.69 = 11,962.69/x
3. Step 3: Cross multiply
   7,831.69x = 11,962.69 × 11,962.69
4. Step 4: Simplify right side
   7,831.69x = 143,105,892.22
5. Step 5: Solve for x
   x = 143,105,892.22/7,831.69
6. Step 6: Final answer
   x = 18,272.68