Finding the Third Proportional to 16,256 and 16,768

Step by Step Solution

1. Step 1: Write the proportion equation
   16,256 : 16,768 = 16,768 : x
2. Step 2: Convert to fraction form
   16,256/16,768 = 16,768/x
3. Step 3: Cross multiply
   16,256x = 16,768 × 16,768
4. Step 4: Simplify right side
   16,256x = 281,165,824
5. Step 5: Solve for x
   x = 281,165,824/16,256
6. Step 6: Final answer
   x = 17,296.13