Finding the Third Proportional to 20,096 and 42,028

Step by Step Solution

1. Step 1: Write the proportion equation
   20,096 : 42,028 = 42,028 : x
2. Step 2: Convert to fraction form
   20,096/42,028 = 42,028/x
3. Step 3: Cross multiply
   20,096x = 42,028 × 42,028
4. Step 4: Simplify right side
   20,096x = 1,766,352,784
5. Step 5: Solve for x
   x = 1,766,352,784/20,096
6. Step 6: Final answer
   x = 87,895.74