Finding the Third Proportional to 32,256 and 48,384

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 48,384 = 48,384 : x
2. Step 2: Convert to fraction form
   32,256/48,384 = 48,384/x
3. Step 3: Cross multiply
   32,256x = 48,384 × 48,384
4. Step 4: Simplify right side
   32,256x = 2,341,011,456
5. Step 5: Solve for x
   x = 2,341,011,456/32,256
6. Step 6: Final answer
   x = 72,576