Finding the Third Proportional to 2,552 and 3,904

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552 : 3,904 = 3,904 : x
2. Step 2: Convert to fraction form
   2,552/3,904 = 3,904/x
3. Step 3: Cross multiply
   2,552x = 3,904 × 3,904
4. Step 4: Simplify right side
   2,552x = 15,241,216
5. Step 5: Solve for x
   x = 15,241,216/2,552
6. Step 6: Final answer
   x = 5,972.26