Finding the Third Proportional to 3,586.50 and 5,540.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.50 : 5,540.06 = 5,540.06 : x
2. Step 2: Convert to fraction form
   3,586.50/5,540.06 = 5,540.06/x
3. Step 3: Cross multiply
   3,586.50x = 5,540.06 × 5,540.06
4. Step 4: Simplify right side
   3,586.50x = 30,692,292.50
5. Step 5: Solve for x
   x = 30,692,292.50/3,586.50
6. Step 6: Final answer
   x = 8,557.73