Finding the Third Proportional to 3,831.75 and 7,743.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,831.75 : 7,743.38 = 7,743.38 : x
2. Step 2: Convert to fraction form
   3,831.75/7,743.38 = 7,743.38/x
3. Step 3: Cross multiply
   3,831.75x = 7,743.38 × 7,743.38
4. Step 4: Simplify right side
   3,831.75x = 59,959,856.39
5. Step 5: Solve for x
   x = 59,959,856.39/3,831.75
6. Step 6: Final answer
   x = 15,648.17