Finding the Third Proportional to 2,471.06 and 5,831.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.06 : 5,831.44 = 5,831.44 : x
2. Step 2: Convert to fraction form
   2,471.06/5,831.44 = 5,831.44/x
3. Step 3: Cross multiply
   2,471.06x = 5,831.44 × 5,831.44
4. Step 4: Simplify right side
   2,471.06x = 34,005,663.32
5. Step 5: Solve for x
   x = 34,005,663.32/2,471.06
6. Step 6: Final answer
   x = 13,761.56