Finding the Third Proportional to 2,323.69 and 5,057.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323.69 : 5,057.44 = 5,057.44 : x
2. Step 2: Convert to fraction form
   2,323.69/5,057.44 = 5,057.44/x
3. Step 3: Cross multiply
   2,323.69x = 5,057.44 × 5,057.44
4. Step 4: Simplify right side
   2,323.69x = 25,577,674.07
5. Step 5: Solve for x
   x = 25,577,674.07/2,323.69
6. Step 6: Final answer
   x = 11,007.36