Finding the Third Proportional to 2,629.75 and 3,681.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.75 : 3,681.25 = 3,681.25 : x
2. Step 2: Convert to fraction form
   2,629.75/3,681.25 = 3,681.25/x
3. Step 3: Cross multiply
   2,629.75x = 3,681.25 × 3,681.25
4. Step 4: Simplify right side
   2,629.75x = 13,551,601.56
5. Step 5: Solve for x
   x = 13,551,601.56/2,629.75
6. Step 6: Final answer
   x = 5,153.19