Finding the Third Proportional to 2,576 and 3,886

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576 : 3,886 = 3,886 : x
2. Step 2: Convert to fraction form
   2,576/3,886 = 3,886/x
3. Step 3: Cross multiply
   2,576x = 3,886 × 3,886
4. Step 4: Simplify right side
   2,576x = 15,100,996
5. Step 5: Solve for x
   x = 15,100,996/2,576
6. Step 6: Final answer
   x = 5,862.19