Finding the Third Proportional to 16,192 and 32,768

Step by Step Solution

1. Step 1: Write the proportion equation
   16,192 : 32,768 = 32,768 : x
2. Step 2: Convert to fraction form
   16,192/32,768 = 32,768/x
3. Step 3: Cross multiply
   16,192x = 32,768 × 32,768
4. Step 4: Simplify right side
   16,192x = 1,073,741,824
5. Step 5: Solve for x
   x = 1,073,741,824/16,192
6. Step 6: Final answer
   x = 66,313.11