Finding the Third Proportional to 3,557.25 and 5,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,557.25 : 5,496.50 = 5,496.50 : x
2. Step 2: Convert to fraction form
   3,557.25/5,496.50 = 5,496.50/x
3. Step 3: Cross multiply
   3,557.25x = 5,496.50 × 5,496.50
4. Step 4: Simplify right side
   3,557.25x = 30,211,512.25
5. Step 5: Solve for x
   x = 30,211,512.25/3,557.25
6. Step 6: Final answer
   x = 8,492.94