Finding the Third Proportional to 2,414.81 and 5,239.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.81 : 5,239.69 = 5,239.69 : x
2. Step 2: Convert to fraction form
   2,414.81/5,239.69 = 5,239.69/x
3. Step 3: Cross multiply
   2,414.81x = 5,239.69 × 5,239.69
4. Step 4: Simplify right side
   2,414.81x = 27,454,325.10
5. Step 5: Solve for x
   x = 27,454,325.10/2,414.81
6. Step 6: Final answer
   x = 11,369.13