Finding the Third Proportional to 9,016 and 14,401

Step by Step Solution

1. Step 1: Write the proportion equation
   9,016 : 14,401 = 14,401 : x
2. Step 2: Convert to fraction form
   9,016/14,401 = 14,401/x
3. Step 3: Cross multiply
   9,016x = 14,401 × 14,401
4. Step 4: Simplify right side
   9,016x = 207,388,801
5. Step 5: Solve for x
   x = 207,388,801/9,016
6. Step 6: Final answer
   x = 23,002.31