Finding the Third Proportional to 20,820 and 30,096

Step by Step Solution

1. Step 1: Write the proportion equation
   20,820 : 30,096 = 30,096 : x
2. Step 2: Convert to fraction form
   20,820/30,096 = 30,096/x
3. Step 3: Cross multiply
   20,820x = 30,096 × 30,096
4. Step 4: Simplify right side
   20,820x = 905,769,216
5. Step 5: Solve for x
   x = 905,769,216/20,820
6. Step 6: Final answer
   x = 43,504.77