Finding the Third Proportional to 2,508.75 and 3,907.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.75 : 3,907.69 = 3,907.69 : x
2. Step 2: Convert to fraction form
   2,508.75/3,907.69 = 3,907.69/x
3. Step 3: Cross multiply
   2,508.75x = 3,907.69 × 3,907.69
4. Step 4: Simplify right side
   2,508.75x = 15,270,021.60
5. Step 5: Solve for x
   x = 15,270,021.60/2,508.75
6. Step 6: Final answer
   x = 6,086.71