Finding the Third Proportional to 1,613.25 and 3,497.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,613.25 : 3,497.34 = 3,497.34 : x
2. Step 2: Convert to fraction form
   1,613.25/3,497.34 = 3,497.34/x
3. Step 3: Cross multiply
   1,613.25x = 3,497.34 × 3,497.34
4. Step 4: Simplify right side
   1,613.25x = 12,231,413.31
5. Step 5: Solve for x
   x = 12,231,413.31/1,613.25
6. Step 6: Final answer
   x = 7,581.85