Finding the Third Proportional to 3,456 and 7,648

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456 : 7,648 = 7,648 : x
2. Step 2: Convert to fraction form
   3,456/7,648 = 7,648/x
3. Step 3: Cross multiply
   3,456x = 7,648 × 7,648
4. Step 4: Simplify right side
   3,456x = 58,491,904
5. Step 5: Solve for x
   x = 58,491,904/3,456
6. Step 6: Final answer
   x = 16,924.74