Finding the Third Proportional to 5,843.39 and 7,831.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,843.39 : 7,831.05 = 7,831.05 : x
2. Step 2: Convert to fraction form
   5,843.39/7,831.05 = 7,831.05/x
3. Step 3: Cross multiply
   5,843.39x = 7,831.05 × 7,831.05
4. Step 4: Simplify right side
   5,843.39x = 61,325,417.52
5. Step 5: Solve for x
   x = 61,325,417.52/5,843.39
6. Step 6: Final answer
   x = 10,494.83