Finding the Third Proportional to 5,152.36 and 7,831.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.36 : 7,831.05 = 7,831.05 : x
2. Step 2: Convert to fraction form
   5,152.36/7,831.05 = 7,831.05/x
3. Step 3: Cross multiply
   5,152.36x = 7,831.05 × 7,831.05
4. Step 4: Simplify right side
   5,152.36x = 61,325,417.52
5. Step 5: Solve for x
   x = 61,325,417.52/5,152.36
6. Step 6: Final answer
   x = 11,902.40