Finding the Third Proportional to 10,742 and 23,266

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742 : 23,266 = 23,266 : x
2. Step 2: Convert to fraction form
   10,742/23,266 = 23,266/x
3. Step 3: Cross multiply
   10,742x = 23,266 × 23,266
4. Step 4: Simplify right side
   10,742x = 541,306,756
5. Step 5: Solve for x
   x = 541,306,756/10,742
6. Step 6: Final answer
   x = 50,391.62