Finding the Third Proportional to 2,452.36 and 3,802.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,452.36 : 3,802.78 = 3,802.78 : x
2. Step 2: Convert to fraction form
   2,452.36/3,802.78 = 3,802.78/x
3. Step 3: Cross multiply
   2,452.36x = 3,802.78 × 3,802.78
4. Step 4: Simplify right side
   2,452.36x = 14,461,145.24
5. Step 5: Solve for x
   x = 14,461,145.24/2,452.36
6. Step 6: Final answer
   x = 5,896.83