Finding the Third Proportional to 3,892 and 5,352

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892 : 5,352 = 5,352 : x
2. Step 2: Convert to fraction form
   3,892/5,352 = 5,352/x
3. Step 3: Cross multiply
   3,892x = 5,352 × 5,352
4. Step 4: Simplify right side
   3,892x = 28,643,904
5. Step 5: Solve for x
   x = 28,643,904/3,892
6. Step 6: Final answer
   x = 7,359.69