Finding the Third Proportional to 9,666 and 19,944

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 19,944 = 19,944 : x
2. Step 2: Convert to fraction form
   9,666/19,944 = 19,944/x
3. Step 3: Cross multiply
   9,666x = 19,944 × 19,944
4. Step 4: Simplify right side
   9,666x = 397,763,136
5. Step 5: Solve for x
   x = 397,763,136/9,666
6. Step 6: Final answer
   x = 41,150.75