Finding the Third Proportional to 1,744.50 and 3,668.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,744.50 : 3,668.25 = 3,668.25 : x
2. Step 2: Convert to fraction form
   1,744.50/3,668.25 = 3,668.25/x
3. Step 3: Cross multiply
   1,744.50x = 3,668.25 × 3,668.25
4. Step 4: Simplify right side
   1,744.50x = 13,456,058.06
5. Step 5: Solve for x
   x = 13,456,058.06/1,744.50
6. Step 6: Final answer
   x = 7,713.42