Finding the Third Proportional to 10,949 and 16,401

Step by Step Solution

1. Step 1: Write the proportion equation
   10,949 : 16,401 = 16,401 : x
2. Step 2: Convert to fraction form
   10,949/16,401 = 16,401/x
3. Step 3: Cross multiply
   10,949x = 16,401 × 16,401
4. Step 4: Simplify right side
   10,949x = 268,992,801
5. Step 5: Solve for x
   x = 268,992,801/10,949
6. Step 6: Final answer
   x = 24,567.80