Finding the Third Proportional to 10,796 and 16,738

Step by Step Solution

1. Step 1: Write the proportion equation
   10,796 : 16,738 = 16,738 : x
2. Step 2: Convert to fraction form
   10,796/16,738 = 16,738/x
3. Step 3: Cross multiply
   10,796x = 16,738 × 16,738
4. Step 4: Simplify right side
   10,796x = 280,160,644
5. Step 5: Solve for x
   x = 280,160,644/10,796
6. Step 6: Final answer
   x = 25,950.41