Finding the Third Proportional to 3,648 and 5,614

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648 : 5,614 = 5,614 : x
2. Step 2: Convert to fraction form
   3,648/5,614 = 5,614/x
3. Step 3: Cross multiply
   3,648x = 5,614 × 5,614
4. Step 4: Simplify right side
   3,648x = 31,516,996
5. Step 5: Solve for x
   x = 31,516,996/3,648
6. Step 6: Final answer
   x = 8,639.53