Finding the Third Proportional to 32,256 and 49,824

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 49,824 = 49,824 : x
2. Step 2: Convert to fraction form
   32,256/49,824 = 49,824/x
3. Step 3: Cross multiply
   32,256x = 49,824 × 49,824
4. Step 4: Simplify right side
   32,256x = 2,482,430,976
5. Step 5: Solve for x
   x = 2,482,430,976/32,256
6. Step 6: Final answer
   x = 76,960.29