Finding the Third Proportional to 13,744.69 and 18,564.19

Step by Step Solution

1. Step 1: Write the proportion equation
   13,744.69 : 18,564.19 = 18,564.19 : x
2. Step 2: Convert to fraction form
   13,744.69/18,564.19 = 18,564.19/x
3. Step 3: Cross multiply
   13,744.69x = 18,564.19 × 18,564.19
4. Step 4: Simplify right side
   13,744.69x = 344,629,057.54
5. Step 5: Solve for x
   x = 344,629,057.54/13,744.69
6. Step 6: Final answer
   x = 25,073.62