Finding the Third Proportional to 2,524.50 and 5,338.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.50 : 5,338.13 = 5,338.13 : x
2. Step 2: Convert to fraction form
   2,524.50/5,338.13 = 5,338.13/x
3. Step 3: Cross multiply
   2,524.50x = 5,338.13 × 5,338.13
4. Step 4: Simplify right side
   2,524.50x = 28,495,578.52
5. Step 5: Solve for x
   x = 28,495,578.52/2,524.50
6. Step 6: Final answer
   x = 11,287.61