Finding the Third Proportional to 2,599.59 and 5,704.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.59 : 5,704.59 = 5,704.59 : x
2. Step 2: Convert to fraction form
   2,599.59/5,704.59 = 5,704.59/x
3. Step 3: Cross multiply
   2,599.59x = 5,704.59 × 5,704.59
4. Step 4: Simplify right side
   2,599.59x = 32,542,389.85
5. Step 5: Solve for x
   x = 32,542,389.85/2,599.59
6. Step 6: Final answer
   x = 12,518.26