Finding the Third Proportional to 10,796 and 16,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,796 : 16,676 = 16,676 : x
2. Step 2: Convert to fraction form
   10,796/16,676 = 16,676/x
3. Step 3: Cross multiply
   10,796x = 16,676 × 16,676
4. Step 4: Simplify right side
   10,796x = 278,088,976
5. Step 5: Solve for x
   x = 278,088,976/10,796
6. Step 6: Final answer
   x = 25,758.52