Finding the Third Proportional to 2,539.69 and 5,496.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.69 : 5,496.19 = 5,496.19 : x
2. Step 2: Convert to fraction form
   2,539.69/5,496.19 = 5,496.19/x
3. Step 3: Cross multiply
   2,539.69x = 5,496.19 × 5,496.19
4. Step 4: Simplify right side
   2,539.69x = 30,208,077.04
5. Step 5: Solve for x
   x = 30,208,077.04/2,539.69
6. Step 6: Final answer
   x = 11,894.41