Finding the Third Proportional to 1,605.09 and 3,505.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.09 : 3,505.59 = 3,505.59 : x
2. Step 2: Convert to fraction form
   1,605.09/3,505.59 = 3,505.59/x
3. Step 3: Cross multiply
   1,605.09x = 3,505.59 × 3,505.59
4. Step 4: Simplify right side
   1,605.09x = 12,289,187.54
5. Step 5: Solve for x
   x = 12,289,187.54/1,605.09
6. Step 6: Final answer
   x = 7,656.37