Finding the Third Proportional to 4,518 and 9,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,518 : 9,662.25 = 9,662.25 : x
2. Step 2: Convert to fraction form
   4,518/9,662.25 = 9,662.25/x
3. Step 3: Cross multiply
   4,518x = 9,662.25 × 9,662.25
4. Step 4: Simplify right side
   4,518x = 93,359,075.06
5. Step 5: Solve for x
   x = 93,359,075.06/4,518
6. Step 6: Final answer
   x = 20,663.81