Finding the Third Proportional to 10,678 and 16,274

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678 : 16,274 = 16,274 : x
2. Step 2: Convert to fraction form
   10,678/16,274 = 16,274/x
3. Step 3: Cross multiply
   10,678x = 16,274 × 16,274
4. Step 4: Simplify right side
   10,678x = 264,843,076
5. Step 5: Solve for x
   x = 264,843,076/10,678
6. Step 6: Final answer
   x = 24,802.69