Finding the Third Proportional to 3,629.25 and 7,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,629.25 : 7,743.75 = 7,743.75 : x
2. Step 2: Convert to fraction form
   3,629.25/7,743.75 = 7,743.75/x
3. Step 3: Cross multiply
   3,629.25x = 7,743.75 × 7,743.75
4. Step 4: Simplify right side
   3,629.25x = 59,965,664.06
5. Step 5: Solve for x
   x = 59,965,664.06/3,629.25
6. Step 6: Final answer
   x = 16,522.88