Finding the Third Proportional to 2,452.50 and 5,296.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,452.50 : 5,296.13 = 5,296.13 : x
2. Step 2: Convert to fraction form
   2,452.50/5,296.13 = 5,296.13/x
3. Step 3: Cross multiply
   2,452.50x = 5,296.13 × 5,296.13
4. Step 4: Simplify right side
   2,452.50x = 28,048,940.02
5. Step 5: Solve for x
   x = 28,048,940.02/2,452.50
6. Step 6: Final answer
   x = 11,436.88