Finding the Third Proportional to 38,256 and 57,384

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 57,384 = 57,384 : x
2. Step 2: Convert to fraction form
   38,256/57,384 = 57,384/x
3. Step 3: Cross multiply
   38,256x = 57,384 × 57,384
4. Step 4: Simplify right side
   38,256x = 3,292,923,456
5. Step 5: Solve for x
   x = 3,292,923,456/38,256
6. Step 6: Final answer
   x = 86,076