Finding the Third Proportional to 10,166 and 22,274

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166 : 22,274 = 22,274 : x
2. Step 2: Convert to fraction form
   10,166/22,274 = 22,274/x
3. Step 3: Cross multiply
   10,166x = 22,274 × 22,274
4. Step 4: Simplify right side
   10,166x = 496,131,076
5. Step 5: Solve for x
   x = 496,131,076/10,166
6. Step 6: Final answer
   x = 48,802.98