Finding the Third Proportional to 2,399 and 3,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,399 : 3,704.50 = 3,704.50 : x
2. Step 2: Convert to fraction form
   2,399/3,704.50 = 3,704.50/x
3. Step 3: Cross multiply
   2,399x = 3,704.50 × 3,704.50
4. Step 4: Simplify right side
   2,399x = 13,723,320.25
5. Step 5: Solve for x
   x = 13,723,320.25/2,399
6. Step 6: Final answer
   x = 5,720.43