Finding the Third Proportional to 4,468.50 and 9,767.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,468.50 : 9,767.25 = 9,767.25 : x
2. Step 2: Convert to fraction form
   4,468.50/9,767.25 = 9,767.25/x
3. Step 3: Cross multiply
   4,468.50x = 9,767.25 × 9,767.25
4. Step 4: Simplify right side
   4,468.50x = 95,399,172.56
5. Step 5: Solve for x
   x = 95,399,172.56/4,468.50
6. Step 6: Final answer
   x = 21,349.26