Finding the Third Proportional to 1,641.75 and 2,408.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.75 : 2,408.25 = 2,408.25 : x
2. Step 2: Convert to fraction form
   1,641.75/2,408.25 = 2,408.25/x
3. Step 3: Cross multiply
   1,641.75x = 2,408.25 × 2,408.25
4. Step 4: Simplify right side
   1,641.75x = 5,799,668.06
5. Step 5: Solve for x
   x = 5,799,668.06/1,641.75
6. Step 6: Final answer
   x = 3,532.61