Finding the Third Proportional to 2,500.88 and 5,380.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500.88 : 5,380.13 = 5,380.13 : x
2. Step 2: Convert to fraction form
   2,500.88/5,380.13 = 5,380.13/x
3. Step 3: Cross multiply
   2,500.88x = 5,380.13 × 5,380.13
4. Step 4: Simplify right side
   2,500.88x = 28,945,745.02
5. Step 5: Solve for x
   x = 28,945,745.02/2,500.88
6. Step 6: Final answer
   x = 11,574.25