Finding the Third Proportional to 10,279 and 22,286

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279 : 22,286 = 22,286 : x
2. Step 2: Convert to fraction form
   10,279/22,286 = 22,286/x
3. Step 3: Cross multiply
   10,279x = 22,286 × 22,286
4. Step 4: Simplify right side
   10,279x = 496,665,796
5. Step 5: Solve for x
   x = 496,665,796/10,279
6. Step 6: Final answer
   x = 48,318.49