Finding the Third Proportional to 20,128 and 30,144

Step by Step Solution

1. Step 1: Write the proportion equation
   20,128 : 30,144 = 30,144 : x
2. Step 2: Convert to fraction form
   20,128/30,144 = 30,144/x
3. Step 3: Cross multiply
   20,128x = 30,144 × 30,144
4. Step 4: Simplify right side
   20,128x = 908,660,736
5. Step 5: Solve for x
   x = 908,660,736/20,128
6. Step 6: Final answer
   x = 45,144.11