Finding the Third Proportional to 4,218.75 and 9,766.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,218.75 : 9,766.69 = 9,766.69 : x
2. Step 2: Convert to fraction form
   4,218.75/9,766.69 = 9,766.69/x
3. Step 3: Cross multiply
   4,218.75x = 9,766.69 × 9,766.69
4. Step 4: Simplify right side
   4,218.75x = 95,388,184.72
5. Step 5: Solve for x
   x = 95,388,184.72/4,218.75
6. Step 6: Final answer
   x = 22,610.53