Finding the Third Proportional to 5,768.72 and 7,831.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,768.72 : 7,831.69 = 7,831.69 : x
2. Step 2: Convert to fraction form
   5,768.72/7,831.69 = 7,831.69/x
3. Step 3: Cross multiply
   5,768.72x = 7,831.69 × 7,831.69
4. Step 4: Simplify right side
   5,768.72x = 61,335,329.10
5. Step 5: Solve for x
   x = 61,335,329.10/5,768.72
6. Step 6: Final answer
   x = 10,632.40