Finding the Third Proportional to 2,296.69 and 5,002.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.69 : 5,002.59 = 5,002.59 : x
2. Step 2: Convert to fraction form
   2,296.69/5,002.59 = 5,002.59/x
3. Step 3: Cross multiply
   2,296.69x = 5,002.59 × 5,002.59
4. Step 4: Simplify right side
   2,296.69x = 25,025,944.23
5. Step 5: Solve for x
   x = 25,025,944.23/2,296.69
6. Step 6: Final answer
   x = 10,896.54