Finding the Third Proportional to 2,426.25 and 3,629.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,426.25 : 3,629.63 = 3,629.63 : x
2. Step 2: Convert to fraction form
   2,426.25/3,629.63 = 3,629.63/x
3. Step 3: Cross multiply
   2,426.25x = 3,629.63 × 3,629.63
4. Step 4: Simplify right side
   2,426.25x = 13,174,177.64
5. Step 5: Solve for x
   x = 13,174,177.64/2,426.25
6. Step 6: Final answer
   x = 5,429.85