Finding the Third Proportional to 10,227 and 20,892

Step by Step Solution

1. Step 1: Write the proportion equation
   10,227 : 20,892 = 20,892 : x
2. Step 2: Convert to fraction form
   10,227/20,892 = 20,892/x
3. Step 3: Cross multiply
   10,227x = 20,892 × 20,892
4. Step 4: Simplify right side
   10,227x = 436,475,664
5. Step 5: Solve for x
   x = 436,475,664/10,227
6. Step 6: Final answer
   x = 42,678.76