Finding the Third Proportional to 3,020.50 and 6,404

Step by Step Solution

1. Step 1: Write the proportion equation
   3,020.50 : 6,404 = 6,404 : x
2. Step 2: Convert to fraction form
   3,020.50/6,404 = 6,404/x
3. Step 3: Cross multiply
   3,020.50x = 6,404 × 6,404
4. Step 4: Simplify right side
   3,020.50x = 41,011,216
5. Step 5: Solve for x
   x = 41,011,216/3,020.50
6. Step 6: Final answer
   x = 13,577.62