Finding the Third Proportional to 9,628 and 14,401

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628 : 14,401 = 14,401 : x
2. Step 2: Convert to fraction form
   9,628/14,401 = 14,401/x
3. Step 3: Cross multiply
   9,628x = 14,401 × 14,401
4. Step 4: Simplify right side
   9,628x = 207,388,801
5. Step 5: Solve for x
   x = 207,388,801/9,628
6. Step 6: Final answer
   x = 21,540.17