Finding the Third Proportional to 2,603.25 and 3,835.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,603.25 : 3,835.75 = 3,835.75 : x
2. Step 2: Convert to fraction form
   2,603.25/3,835.75 = 3,835.75/x
3. Step 3: Cross multiply
   2,603.25x = 3,835.75 × 3,835.75
4. Step 4: Simplify right side
   2,603.25x = 14,712,978.06
5. Step 5: Solve for x
   x = 14,712,978.06/2,603.25
6. Step 6: Final answer
   x = 5,651.77