Finding the Third Proportional to 10,122 and 22,227

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122 : 22,227 = 22,227 : x
2. Step 2: Convert to fraction form
   10,122/22,227 = 22,227/x
3. Step 3: Cross multiply
   10,122x = 22,227 × 22,227
4. Step 4: Simplify right side
   10,122x = 494,039,529
5. Step 5: Solve for x
   x = 494,039,529/10,122
6. Step 6: Final answer
   x = 48,808.49