Finding the Third Proportional to 5,727 and 10,266

Step by Step Solution

1. Step 1: Write the proportion equation
   5,727 : 10,266 = 10,266 : x
2. Step 2: Convert to fraction form
   5,727/10,266 = 10,266/x
3. Step 3: Cross multiply
   5,727x = 10,266 × 10,266
4. Step 4: Simplify right side
   5,727x = 105,390,756
5. Step 5: Solve for x
   x = 105,390,756/5,727
6. Step 6: Final answer
   x = 18,402.44