Finding the Third Proportional to 3,574.75 and 8,449.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,574.75 : 8,449.25 = 8,449.25 : x
2. Step 2: Convert to fraction form
   3,574.75/8,449.25 = 8,449.25/x
3. Step 3: Cross multiply
   3,574.75x = 8,449.25 × 8,449.25
4. Step 4: Simplify right side
   3,574.75x = 71,389,825.56
5. Step 5: Solve for x
   x = 71,389,825.56/3,574.75
6. Step 6: Final answer
   x = 19,970.58