Finding the Third Proportional to 4,166 and 5,932

Step by Step Solution

1. Step 1: Write the proportion equation
   4,166 : 5,932 = 5,932 : x
2. Step 2: Convert to fraction form
   4,166/5,932 = 5,932/x
3. Step 3: Cross multiply
   4,166x = 5,932 × 5,932
4. Step 4: Simplify right side
   4,166x = 35,188,624
5. Step 5: Solve for x
   x = 35,188,624/4,166
6. Step 6: Final answer
   x = 8,446.62