Finding the Third Proportional to 9,564 and 13,665

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 13,665 = 13,665 : x
2. Step 2: Convert to fraction form
   9,564/13,665 = 13,665/x
3. Step 3: Cross multiply
   9,564x = 13,665 × 13,665
4. Step 4: Simplify right side
   9,564x = 186,732,225
5. Step 5: Solve for x
   x = 186,732,225/9,564
6. Step 6: Final answer
   x = 19,524.49