Finding the Third Proportional to 9,537 and 10,401

Step by Step Solution

1. Step 1: Write the proportion equation
   9,537 : 10,401 = 10,401 : x
2. Step 2: Convert to fraction form
   9,537/10,401 = 10,401/x
3. Step 3: Cross multiply
   9,537x = 10,401 × 10,401
4. Step 4: Simplify right side
   9,537x = 108,180,801
5. Step 5: Solve for x
   x = 108,180,801/9,537
6. Step 6: Final answer
   x = 11,343.27