Finding the Third Proportional to 4,892 and 10,270

Step by Step Solution

1. Step 1: Write the proportion equation
   4,892 : 10,270 = 10,270 : x
2. Step 2: Convert to fraction form
   4,892/10,270 = 10,270/x
3. Step 3: Cross multiply
   4,892x = 10,270 × 10,270
4. Step 4: Simplify right side
   4,892x = 105,472,900
5. Step 5: Solve for x
   x = 105,472,900/4,892
6. Step 6: Final answer
   x = 21,560.28