Finding the Third Proportional to 3,648 and 5,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648 : 5,464.50 = 5,464.50 : x
2. Step 2: Convert to fraction form
   3,648/5,464.50 = 5,464.50/x
3. Step 3: Cross multiply
   3,648x = 5,464.50 × 5,464.50
4. Step 4: Simplify right side
   3,648x = 29,860,760.25
5. Step 5: Solve for x
   x = 29,860,760.25/3,648
6. Step 6: Final answer
   x = 8,185.52