Finding the Third Proportional to 9,724 and 20,096

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724 : 20,096 = 20,096 : x
2. Step 2: Convert to fraction form
   9,724/20,096 = 20,096/x
3. Step 3: Cross multiply
   9,724x = 20,096 × 20,096
4. Step 4: Simplify right side
   9,724x = 403,849,216
5. Step 5: Solve for x
   x = 403,849,216/9,724
6. Step 6: Final answer
   x = 41,531.18