Finding the Third Proportional to 12,186 and 13,401

Step by Step Solution

1. Step 1: Write the proportion equation
   12,186 : 13,401 = 13,401 : x
2. Step 2: Convert to fraction form
   12,186/13,401 = 13,401/x
3. Step 3: Cross multiply
   12,186x = 13,401 × 13,401
4. Step 4: Simplify right side
   12,186x = 179,586,801
5. Step 5: Solve for x
   x = 179,586,801/12,186
6. Step 6: Final answer
   x = 14,737.14