Finding the Third Proportional to 3,814.30 and 5,831.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,814.30 : 5,831.38 = 5,831.38 : x
2. Step 2: Convert to fraction form
   3,814.30/5,831.38 = 5,831.38/x
3. Step 3: Cross multiply
   3,814.30x = 5,831.38 × 5,831.38
4. Step 4: Simplify right side
   3,814.30x = 34,004,958.59
5. Step 5: Solve for x
   x = 34,004,958.59/3,814.30
6. Step 6: Final answer
   x = 8,915.12