Finding the Third Proportional to 12,179 and 18,401

Step by Step Solution

1. Step 1: Write the proportion equation
   12,179 : 18,401 = 18,401 : x
2. Step 2: Convert to fraction form
   12,179/18,401 = 18,401/x
3. Step 3: Cross multiply
   12,179x = 18,401 × 18,401
4. Step 4: Simplify right side
   12,179x = 338,596,801
5. Step 5: Solve for x
   x = 338,596,801/12,179
6. Step 6: Final answer
   x = 27,801.69