Finding the Third Proportional to 20,512 and 30,384

Step by Step Solution

1. Step 1: Write the proportion equation
   20,512 : 30,384 = 30,384 : x
2. Step 2: Convert to fraction form
   20,512/30,384 = 30,384/x
3. Step 3: Cross multiply
   20,512x = 30,384 × 30,384
4. Step 4: Simplify right side
   20,512x = 923,187,456
5. Step 5: Solve for x
   x = 923,187,456/20,512
6. Step 6: Final answer
   x = 45,007.19