Finding the Third Proportional to 9,736.50 and 14,726.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.50 : 14,726.25 = 14,726.25 : x
2. Step 2: Convert to fraction form
   9,736.50/14,726.25 = 14,726.25/x
3. Step 3: Cross multiply
   9,736.50x = 14,726.25 × 14,726.25
4. Step 4: Simplify right side
   9,736.50x = 216,862,439.06
5. Step 5: Solve for x
   x = 216,862,439.06/9,736.50
6. Step 6: Final answer
   x = 22,273.14