Finding the Third Proportional to 11,664 and 16,200

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 16,200 = 16,200 : x
2. Step 2: Convert to fraction form
   11,664/16,200 = 16,200/x
3. Step 3: Cross multiply
   11,664x = 16,200 × 16,200
4. Step 4: Simplify right side
   11,664x = 262,440,000
5. Step 5: Solve for x
   x = 262,440,000/11,664
6. Step 6: Final answer
   x = 22,500