Finding the Third Proportional to 1,609.50 and 2,569.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.50 : 2,569.88 = 2,569.88 : x
2. Step 2: Convert to fraction form
   1,609.50/2,569.88 = 2,569.88/x
3. Step 3: Cross multiply
   1,609.50x = 2,569.88 × 2,569.88
4. Step 4: Simplify right side
   1,609.50x = 6,604,257.52
5. Step 5: Solve for x
   x = 6,604,257.52/1,609.50
6. Step 6: Final answer
   x = 4,103.30