Finding the Third Proportional to 2,368.62 and 3,625.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,368.62 : 3,625.38 = 3,625.38 : x
2. Step 2: Convert to fraction form
   2,368.62/3,625.38 = 3,625.38/x
3. Step 3: Cross multiply
   2,368.62x = 3,625.38 × 3,625.38
4. Step 4: Simplify right side
   2,368.62x = 13,143,400.54
5. Step 5: Solve for x
   x = 13,143,400.54/2,368.62
6. Step 6: Final answer
   x = 5,548.98