Finding the Third Proportional to 2,596 and 5,624

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596 : 5,624 = 5,624 : x
2. Step 2: Convert to fraction form
   2,596/5,624 = 5,624/x
3. Step 3: Cross multiply
   2,596x = 5,624 × 5,624
4. Step 4: Simplify right side
   2,596x = 31,629,376
5. Step 5: Solve for x
   x = 31,629,376/2,596
6. Step 6: Final answer
   x = 12,183.89