Finding the Third Proportional to 9,666 and 13,635

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 13,635 = 13,635 : x
2. Step 2: Convert to fraction form
   9,666/13,635 = 13,635/x
3. Step 3: Cross multiply
   9,666x = 13,635 × 13,635
4. Step 4: Simplify right side
   9,666x = 185,913,225
5. Step 5: Solve for x
   x = 185,913,225/9,666
6. Step 6: Final answer
   x = 19,233.73