Finding the Third Proportional to 3,397.50 and 5,033.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,397.50 : 5,033.25 = 5,033.25 : x
2. Step 2: Convert to fraction form
   3,397.50/5,033.25 = 5,033.25/x
3. Step 3: Cross multiply
   3,397.50x = 5,033.25 × 5,033.25
4. Step 4: Simplify right side
   3,397.50x = 25,333,605.56
5. Step 5: Solve for x
   x = 25,333,605.56/3,397.50
6. Step 6: Final answer
   x = 7,456.54