Finding the Third Proportional to 21,696 and 32,544

Step by Step Solution

1. Step 1: Write the proportion equation
   21,696 : 32,544 = 32,544 : x
2. Step 2: Convert to fraction form
   21,696/32,544 = 32,544/x
3. Step 3: Cross multiply
   21,696x = 32,544 × 32,544
4. Step 4: Simplify right side
   21,696x = 1,059,111,936
5. Step 5: Solve for x
   x = 1,059,111,936/21,696
6. Step 6: Final answer
   x = 48,816