Finding the Third Proportional to 9,564 and 13,692

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 13,692 = 13,692 : x
2. Step 2: Convert to fraction form
   9,564/13,692 = 13,692/x
3. Step 3: Cross multiply
   9,564x = 13,692 × 13,692
4. Step 4: Simplify right side
   9,564x = 187,470,864
5. Step 5: Solve for x
   x = 187,470,864/9,564
6. Step 6: Final answer
   x = 19,601.72