Finding the Third Proportional to 3,456 and 3,836

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456 : 3,836 = 3,836 : x
2. Step 2: Convert to fraction form
   3,456/3,836 = 3,836/x
3. Step 3: Cross multiply
   3,456x = 3,836 × 3,836
4. Step 4: Simplify right side
   3,456x = 14,714,896
5. Step 5: Solve for x
   x = 14,714,896/3,456
6. Step 6: Final answer
   x = 4,257.78