Finding the Third Proportional to 2,396 and 5,597

Step by Step Solution

1. Step 1: Write the proportion equation
   2,396 : 5,597 = 5,597 : x
2. Step 2: Convert to fraction form
   2,396/5,597 = 5,597/x
3. Step 3: Cross multiply
   2,396x = 5,597 × 5,597
4. Step 4: Simplify right side
   2,396x = 31,326,409
5. Step 5: Solve for x
   x = 31,326,409/2,396
6. Step 6: Final answer
   x = 13,074.46