Finding the Third Proportional to 2,470.31 and 5,831.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.31 : 5,831.27 = 5,831.27 : x
2. Step 2: Convert to fraction form
   2,470.31/5,831.27 = 5,831.27/x
3. Step 3: Cross multiply
   2,470.31x = 5,831.27 × 5,831.27
4. Step 4: Simplify right side
   2,470.31x = 34,003,749.90
5. Step 5: Solve for x
   x = 34,003,749.90/2,470.31
6. Step 6: Final answer
   x = 13,764.96