Finding the Third Proportional to 2,400 and 5,199.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,400 : 5,199.38 = 5,199.38 : x
2. Step 2: Convert to fraction form
   2,400/5,199.38 = 5,199.38/x
3. Step 3: Cross multiply
   2,400x = 5,199.38 × 5,199.38
4. Step 4: Simplify right side
   2,400x = 27,033,500.39
5. Step 5: Solve for x
   x = 27,033,500.39/2,400
6. Step 6: Final answer
   x = 11,263.96