Finding the Third Proportional to 9,726.75 and 14,448.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726.75 : 14,448.38 = 14,448.38 : x
2. Step 2: Convert to fraction form
   9,726.75/14,448.38 = 14,448.38/x
3. Step 3: Cross multiply
   9,726.75x = 14,448.38 × 14,448.38
4. Step 4: Simplify right side
   9,726.75x = 208,755,540.14
5. Step 5: Solve for x
   x = 208,755,540.14/9,726.75
6. Step 6: Final answer
   x = 21,462.00