Finding the Third Proportional to 2,399.50 and 5,200.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,399.50 : 5,200.75 = 5,200.75 : x
2. Step 2: Convert to fraction form
   2,399.50/5,200.75 = 5,200.75/x
3. Step 3: Cross multiply
   2,399.50x = 5,200.75 × 5,200.75
4. Step 4: Simplify right side
   2,399.50x = 27,047,800.56
5. Step 5: Solve for x
   x = 27,047,800.56/2,399.50
6. Step 6: Final answer
   x = 11,272.27