Finding the Third Proportional to 11,672 and 18,166

Step by Step Solution

1. Step 1: Write the proportion equation
   11,672 : 18,166 = 18,166 : x
2. Step 2: Convert to fraction form
   11,672/18,166 = 18,166/x
3. Step 3: Cross multiply
   11,672x = 18,166 × 18,166
4. Step 4: Simplify right side
   11,672x = 330,003,556
5. Step 5: Solve for x
   x = 330,003,556/11,672
6. Step 6: Final answer
   x = 28,273.09