Finding the Third Proportional to 1,872.38 and 2,831.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,872.38 : 2,831.81 = 2,831.81 : x
2. Step 2: Convert to fraction form
   1,872.38/2,831.81 = 2,831.81/x
3. Step 3: Cross multiply
   1,872.38x = 2,831.81 × 2,831.81
4. Step 4: Simplify right side
   1,872.38x = 8,019,162.04
5. Step 5: Solve for x
   x = 8,019,162.04/1,872.38
6. Step 6: Final answer
   x = 4,282.88