Finding the Third Proportional to 10,742 and 20,404

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742 : 20,404 = 20,404 : x
2. Step 2: Convert to fraction form
   10,742/20,404 = 20,404/x
3. Step 3: Cross multiply
   10,742x = 20,404 × 20,404
4. Step 4: Simplify right side
   10,742x = 416,323,216
5. Step 5: Solve for x
   x = 416,323,216/10,742
6. Step 6: Final answer
   x = 38,756.58