Finding the Third Proportional to 10,166 and 22,186

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166 : 22,186 = 22,186 : x
2. Step 2: Convert to fraction form
   10,166/22,186 = 22,186/x
3. Step 3: Cross multiply
   10,166x = 22,186 × 22,186
4. Step 4: Simplify right side
   10,166x = 492,218,596
5. Step 5: Solve for x
   x = 492,218,596/10,166
6. Step 6: Final answer
   x = 48,418.12