Finding the Third Proportional to 12,166 and 18,500

Step by Step Solution

1. Step 1: Write the proportion equation
   12,166 : 18,500 = 18,500 : x
2. Step 2: Convert to fraction form
   12,166/18,500 = 18,500/x
3. Step 3: Cross multiply
   12,166x = 18,500 × 18,500
4. Step 4: Simplify right side
   12,166x = 342,250,000
5. Step 5: Solve for x
   x = 342,250,000/12,166
6. Step 6: Final answer
   x = 28,131.68