Finding the Third Proportional to 9,666 and 20,025

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 20,025 = 20,025 : x
2. Step 2: Convert to fraction form
   9,666/20,025 = 20,025/x
3. Step 3: Cross multiply
   9,666x = 20,025 × 20,025
4. Step 4: Simplify right side
   9,666x = 401,000,625
5. Step 5: Solve for x
   x = 401,000,625/9,666
6. Step 6: Final answer
   x = 41,485.68