Finding the Third Proportional to 10,441 and 18,401

Step by Step Solution

1. Step 1: Write the proportion equation
   10,441 : 18,401 = 18,401 : x
2. Step 2: Convert to fraction form
   10,441/18,401 = 18,401/x
3. Step 3: Cross multiply
   10,441x = 18,401 × 18,401
4. Step 4: Simplify right side
   10,441x = 338,596,801
5. Step 5: Solve for x
   x = 338,596,801/10,441
6. Step 6: Final answer
   x = 32,429.54