Finding the Third Proportional to 2,584 and 3,852

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584 : 3,852 = 3,852 : x
2. Step 2: Convert to fraction form
   2,584/3,852 = 3,852/x
3. Step 3: Cross multiply
   2,584x = 3,852 × 3,852
4. Step 4: Simplify right side
   2,584x = 14,837,904
5. Step 5: Solve for x
   x = 14,837,904/2,584
6. Step 6: Final answer
   x = 5,742.22