Finding the Third Proportional to 8,491.50 and 9,726.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,491.50 : 9,726.75 = 9,726.75 : x
2. Step 2: Convert to fraction form
   8,491.50/9,726.75 = 9,726.75/x
3. Step 3: Cross multiply
   8,491.50x = 9,726.75 × 9,726.75
4. Step 4: Simplify right side
   8,491.50x = 94,609,665.56
5. Step 5: Solve for x
   x = 94,609,665.56/8,491.50
6. Step 6: Final answer
   x = 11,141.69