Finding the Third Proportional to 2,397.75 and 5,231.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,397.75 : 5,231.38 = 5,231.38 : x
2. Step 2: Convert to fraction form
   2,397.75/5,231.38 = 5,231.38/x
3. Step 3: Cross multiply
   2,397.75x = 5,231.38 × 5,231.38
4. Step 4: Simplify right side
   2,397.75x = 27,367,284.39
5. Step 5: Solve for x
   x = 27,367,284.39/2,397.75
6. Step 6: Final answer
   x = 11,413.74