Finding the Third Proportional to 2,424.38 and 3,625.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424.38 : 3,625.88 = 3,625.88 : x
2. Step 2: Convert to fraction form
   2,424.38/3,625.88 = 3,625.88/x
3. Step 3: Cross multiply
   2,424.38x = 3,625.88 × 3,625.88
4. Step 4: Simplify right side
   2,424.38x = 13,146,969.52
5. Step 5: Solve for x
   x = 13,146,969.52/2,424.38
6. Step 6: Final answer
   x = 5,422.83