Finding the Third Proportional to 3,802 and 5,898

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802 : 5,898 = 5,898 : x
2. Step 2: Convert to fraction form
   3,802/5,898 = 5,898/x
3. Step 3: Cross multiply
   3,802x = 5,898 × 5,898
4. Step 4: Simplify right side
   3,802x = 34,786,404
5. Step 5: Solve for x
   x = 34,786,404/3,802
6. Step 6: Final answer
   x = 9,149.50