Finding the Third Proportional to 2,609.50 and 4,042.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.50 : 4,042.25 = 4,042.25 : x
2. Step 2: Convert to fraction form
   2,609.50/4,042.25 = 4,042.25/x
3. Step 3: Cross multiply
   2,609.50x = 4,042.25 × 4,042.25
4. Step 4: Simplify right side
   2,609.50x = 16,339,785.06
5. Step 5: Solve for x
   x = 16,339,785.06/2,609.50
6. Step 6: Final answer
   x = 6,261.65