Finding the Third Proportional to 1,609 and 2,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609 : 2,383.50 = 2,383.50 : x
2. Step 2: Convert to fraction form
   1,609/2,383.50 = 2,383.50/x
3. Step 3: Cross multiply
   1,609x = 2,383.50 × 2,383.50
4. Step 4: Simplify right side
   1,609x = 5,681,072.25
5. Step 5: Solve for x
   x = 5,681,072.25/1,609
6. Step 6: Final answer
   x = 3,530.81