Finding the Third Proportional to 8,144 and 16,774

Step by Step Solution

1. Step 1: Write the proportion equation
   8,144 : 16,774 = 16,774 : x
2. Step 2: Convert to fraction form
   8,144/16,774 = 16,774/x
3. Step 3: Cross multiply
   8,144x = 16,774 × 16,774
4. Step 4: Simplify right side
   8,144x = 281,367,076
5. Step 5: Solve for x
   x = 281,367,076/8,144
6. Step 6: Final answer
   x = 34,549.00