Finding the Third Proportional to 2,497.39 and 5,782.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,497.39 : 5,782.17 = 5,782.17 : x
2. Step 2: Convert to fraction form
   2,497.39/5,782.17 = 5,782.17/x
3. Step 3: Cross multiply
   2,497.39x = 5,782.17 × 5,782.17
4. Step 4: Simplify right side
   2,497.39x = 33,433,443.83
5. Step 5: Solve for x
   x = 33,433,443.83/2,497.39
6. Step 6: Final answer
   x = 13,387.33