Finding the Third Proportional to 2,399.63 and 5,234.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,399.63 : 5,234.20 = 5,234.20 : x
2. Step 2: Convert to fraction form
   2,399.63/5,234.20 = 5,234.20/x
3. Step 3: Cross multiply
   2,399.63x = 5,234.20 × 5,234.20
4. Step 4: Simplify right side
   2,399.63x = 27,396,882.35
5. Step 5: Solve for x
   x = 27,396,882.35/2,399.63
6. Step 6: Final answer
   x = 11,417.15