Finding the Third Proportional to 3,592 and 3,872

Step by Step Solution

1. Step 1: Write the proportion equation
   3,592 : 3,872 = 3,872 : x
2. Step 2: Convert to fraction form
   3,592/3,872 = 3,872/x
3. Step 3: Cross multiply
   3,592x = 3,872 × 3,872
4. Step 4: Simplify right side
   3,592x = 14,992,384
5. Step 5: Solve for x
   x = 14,992,384/3,592
6. Step 6: Final answer
   x = 4,173.83