Finding the Third Proportional to 20,256 and 41,328

Step by Step Solution

1. Step 1: Write the proportion equation
   20,256 : 41,328 = 41,328 : x
2. Step 2: Convert to fraction form
   20,256/41,328 = 41,328/x
3. Step 3: Cross multiply
   20,256x = 41,328 × 41,328
4. Step 4: Simplify right side
   20,256x = 1,708,003,584
5. Step 5: Solve for x
   x = 1,708,003,584/20,256
6. Step 6: Final answer
   x = 84,320.87