Finding the Third Proportional to 2,429.25 and 3,644.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.25 : 3,644.38 = 3,644.38 : x
2. Step 2: Convert to fraction form
   2,429.25/3,644.38 = 3,644.38/x
3. Step 3: Cross multiply
   2,429.25x = 3,644.38 × 3,644.38
4. Step 4: Simplify right side
   2,429.25x = 13,281,469.14
5. Step 5: Solve for x
   x = 13,281,469.14/2,429.25
6. Step 6: Final answer
   x = 5,467.31