Finding the Third Proportional to 3,442.50 and 7,544.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,442.50 : 7,544.25 = 7,544.25 : x
2. Step 2: Convert to fraction form
   3,442.50/7,544.25 = 7,544.25/x
3. Step 3: Cross multiply
   3,442.50x = 7,544.25 × 7,544.25
4. Step 4: Simplify right side
   3,442.50x = 56,915,708.06
5. Step 5: Solve for x
   x = 56,915,708.06/3,442.50
6. Step 6: Final answer
   x = 16,533.25