Finding the Third Proportional to 10,768 and 16,640

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 16,640 = 16,640 : x
2. Step 2: Convert to fraction form
   10,768/16,640 = 16,640/x
3. Step 3: Cross multiply
   10,768x = 16,640 × 16,640
4. Step 4: Simplify right side
   10,768x = 276,889,600
5. Step 5: Solve for x
   x = 276,889,600/10,768
6. Step 6: Final answer
   x = 25,714.12