Finding the Third Proportional to 13,744.69 and 23,824.13

Step by Step Solution

1. Step 1: Write the proportion equation
   13,744.69 : 23,824.13 = 23,824.13 : x
2. Step 2: Convert to fraction form
   13,744.69/23,824.13 = 23,824.13/x
3. Step 3: Cross multiply
   13,744.69x = 23,824.13 × 23,824.13
4. Step 4: Simplify right side
   13,744.69x = 567,588,932.02
5. Step 5: Solve for x
   x = 567,588,932.02/13,744.69
6. Step 6: Final answer
   x = 41,295.15