Finding the Third Proportional to 9,742 and 20,110

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742 : 20,110 = 20,110 : x
2. Step 2: Convert to fraction form
   9,742/20,110 = 20,110/x
3. Step 3: Cross multiply
   9,742x = 20,110 × 20,110
4. Step 4: Simplify right side
   9,742x = 404,412,100
5. Step 5: Solve for x
   x = 404,412,100/9,742
6. Step 6: Final answer
   x = 41,512.23