Finding the Third Proportional to 2,411.50 and 5,286.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.50 : 5,286.25 = 5,286.25 : x
2. Step 2: Convert to fraction form
   2,411.50/5,286.25 = 5,286.25/x
3. Step 3: Cross multiply
   2,411.50x = 5,286.25 × 5,286.25
4. Step 4: Simplify right side
   2,411.50x = 27,944,439.06
5. Step 5: Solve for x
   x = 27,944,439.06/2,411.50
6. Step 6: Final answer
   x = 11,587.99