Finding the Third Proportional to 12,166 and 13,446

Step by Step Solution

1. Step 1: Write the proportion equation
   12,166 : 13,446 = 13,446 : x
2. Step 2: Convert to fraction form
   12,166/13,446 = 13,446/x
3. Step 3: Cross multiply
   12,166x = 13,446 × 13,446
4. Step 4: Simplify right side
   12,166x = 180,794,916
5. Step 5: Solve for x
   x = 180,794,916/12,166
6. Step 6: Final answer
   x = 14,860.67