Finding the Third Proportional to 2,603.25 and 3,974.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,603.25 : 3,974.63 = 3,974.63 : x
2. Step 2: Convert to fraction form
   2,603.25/3,974.63 = 3,974.63/x
3. Step 3: Cross multiply
   2,603.25x = 3,974.63 × 3,974.63
4. Step 4: Simplify right side
   2,603.25x = 15,797,643.89
5. Step 5: Solve for x
   x = 15,797,643.89/2,603.25
6. Step 6: Final answer
   x = 6,068.43