Finding the Third Proportional to 10,166 and 18,118

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166 : 18,118 = 18,118 : x
2. Step 2: Convert to fraction form
   10,166/18,118 = 18,118/x
3. Step 3: Cross multiply
   10,166x = 18,118 × 18,118
4. Step 4: Simplify right side
   10,166x = 328,261,924
5. Step 5: Solve for x
   x = 328,261,924/10,166
6. Step 6: Final answer
   x = 32,290.18