Finding the Third Proportional to 4,096 and 9,456

Step by Step Solution

1. Step 1: Write the proportion equation
   4,096 : 9,456 = 9,456 : x
2. Step 2: Convert to fraction form
   4,096/9,456 = 9,456/x
3. Step 3: Cross multiply
   4,096x = 9,456 × 9,456
4. Step 4: Simplify right side
   4,096x = 89,415,936
5. Step 5: Solve for x
   x = 89,415,936/4,096
6. Step 6: Final answer
   x = 21,830.06