Finding the Third Proportional to 3,799 and 5,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,799 : 5,831.50 = 5,831.50 : x
2. Step 2: Convert to fraction form
   3,799/5,831.50 = 5,831.50/x
3. Step 3: Cross multiply
   3,799x = 5,831.50 × 5,831.50
4. Step 4: Simplify right side
   3,799x = 34,006,392.25
5. Step 5: Solve for x
   x = 34,006,392.25/3,799
6. Step 6: Final answer
   x = 8,951.41