Finding the Third Proportional to 10,692 and 16,774

Step by Step Solution

1. Step 1: Write the proportion equation
   10,692 : 16,774 = 16,774 : x
2. Step 2: Convert to fraction form
   10,692/16,774 = 16,774/x
3. Step 3: Cross multiply
   10,692x = 16,774 × 16,774
4. Step 4: Simplify right side
   10,692x = 281,367,076
5. Step 5: Solve for x
   x = 281,367,076/10,692
6. Step 6: Final answer
   x = 26,315.66