Finding the Third Proportional to 2,414.25 and 5,087.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.25 : 5,087.91 = 5,087.91 : x
2. Step 2: Convert to fraction form
   2,414.25/5,087.91 = 5,087.91/x
3. Step 3: Cross multiply
   2,414.25x = 5,087.91 × 5,087.91
4. Step 4: Simplify right side
   2,414.25x = 25,886,790.01
5. Step 5: Solve for x
   x = 25,886,790.01/2,414.25
6. Step 6: Final answer
   x = 10,722.50