Finding the Third Proportional to 11,664 and 19,800

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 19,800 = 19,800 : x
2. Step 2: Convert to fraction form
   11,664/19,800 = 19,800/x
3. Step 3: Cross multiply
   11,664x = 19,800 × 19,800
4. Step 4: Simplify right side
   11,664x = 392,040,000
5. Step 5: Solve for x
   x = 392,040,000/11,664
6. Step 6: Final answer
   x = 33,611.11