Finding the Third Proportional to 3,580 and 5,504

Step by Step Solution

1. Step 1: Write the proportion equation
   3,580 : 5,504 = 5,504 : x
2. Step 2: Convert to fraction form
   3,580/5,504 = 5,504/x
3. Step 3: Cross multiply
   3,580x = 5,504 × 5,504
4. Step 4: Simplify right side
   3,580x = 30,294,016
5. Step 5: Solve for x
   x = 30,294,016/3,580
6. Step 6: Final answer
   x = 8,462.02