Finding the Third Proportional to 2,556.25 and 3,834.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.25 : 3,834.38 = 3,834.38 : x
2. Step 2: Convert to fraction form
   2,556.25/3,834.38 = 3,834.38/x
3. Step 3: Cross multiply
   2,556.25x = 3,834.38 × 3,834.38
4. Step 4: Simplify right side
   2,556.25x = 14,702,431.64
5. Step 5: Solve for x
   x = 14,702,431.64/2,556.25
6. Step 6: Final answer
   x = 5,751.56