Finding the Third Proportional to 9,661.50 and 14,626.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.50 : 14,626.69 = 14,626.69 : x
2. Step 2: Convert to fraction form
   9,661.50/14,626.69 = 14,626.69/x
3. Step 3: Cross multiply
   9,661.50x = 14,626.69 × 14,626.69
4. Step 4: Simplify right side
   9,661.50x = 213,939,987.22
5. Step 5: Solve for x
   x = 213,939,987.22/9,661.50
6. Step 6: Final answer
   x = 22,143.56