Finding the Third Proportional to 10,804 and 20,096

Step by Step Solution

1. Step 1: Write the proportion equation
   10,804 : 20,096 = 20,096 : x
2. Step 2: Convert to fraction form
   10,804/20,096 = 20,096/x
3. Step 3: Cross multiply
   10,804x = 20,096 × 20,096
4. Step 4: Simplify right side
   10,804x = 403,849,216
5. Step 5: Solve for x
   x = 403,849,216/10,804
6. Step 6: Final answer
   x = 37,379.60