Finding the Third Proportional to 16,384 and 36,096

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384 : 36,096 = 36,096 : x
2. Step 2: Convert to fraction form
   16,384/36,096 = 36,096/x
3. Step 3: Cross multiply
   16,384x = 36,096 × 36,096
4. Step 4: Simplify right side
   16,384x = 1,302,921,216
5. Step 5: Solve for x
   x = 1,302,921,216/16,384
6. Step 6: Final answer
   x = 79,524