Finding the Third Proportional to 2,488.69 and 5,416.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,488.69 : 5,416.31 = 5,416.31 : x
2. Step 2: Convert to fraction form
   2,488.69/5,416.31 = 5,416.31/x
3. Step 3: Cross multiply
   2,488.69x = 5,416.31 × 5,416.31
4. Step 4: Simplify right side
   2,488.69x = 29,336,441.10
5. Step 5: Solve for x
   x = 29,336,441.10/2,488.69
6. Step 6: Final answer
   x = 11,787.92