Finding the Third Proportional to 3,456 and 3,852

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456 : 3,852 = 3,852 : x
2. Step 2: Convert to fraction form
   3,456/3,852 = 3,852/x
3. Step 3: Cross multiply
   3,456x = 3,852 × 3,852
4. Step 4: Simplify right side
   3,456x = 14,837,904
5. Step 5: Solve for x
   x = 14,837,904/3,456
6. Step 6: Final answer
   x = 4,293.38