Finding the Third Proportional to 2,500.88 and 5,286.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500.88 : 5,286.52 = 5,286.52 : x
2. Step 2: Convert to fraction form
   2,500.88/5,286.52 = 5,286.52/x
3. Step 3: Cross multiply
   2,500.88x = 5,286.52 × 5,286.52
4. Step 4: Simplify right side
   2,500.88x = 27,947,247.45
5. Step 5: Solve for x
   x = 27,947,247.45/2,500.88
6. Step 6: Final answer
   x = 11,174.99