Finding the Third Proportional to 3,932 and 5,746

Step by Step Solution

1. Step 1: Write the proportion equation
   3,932 : 5,746 = 5,746 : x
2. Step 2: Convert to fraction form
   3,932/5,746 = 5,746/x
3. Step 3: Cross multiply
   3,932x = 5,746 × 5,746
4. Step 4: Simplify right side
   3,932x = 33,016,516
5. Step 5: Solve for x
   x = 33,016,516/3,932
6. Step 6: Final answer
   x = 8,396.88