Finding the Third Proportional to 9,564 and 13,662

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 13,662 = 13,662 : x
2. Step 2: Convert to fraction form
   9,564/13,662 = 13,662/x
3. Step 3: Cross multiply
   9,564x = 13,662 × 13,662
4. Step 4: Simplify right side
   9,564x = 186,650,244
5. Step 5: Solve for x
   x = 186,650,244/9,564
6. Step 6: Final answer
   x = 19,515.92