Finding the Third Proportional to 2,561.63 and 3,629.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.63 : 3,629.81 = 3,629.81 : x
2. Step 2: Convert to fraction form
   2,561.63/3,629.81 = 3,629.81/x
3. Step 3: Cross multiply
   2,561.63x = 3,629.81 × 3,629.81
4. Step 4: Simplify right side
   2,561.63x = 13,175,538.79
5. Step 5: Solve for x
   x = 13,175,538.79/2,561.63
6. Step 6: Final answer
   x = 5,143.43