Finding the Third Proportional to 5,802 and 10,059

Step by Step Solution

1. Step 1: Write the proportion equation
   5,802 : 10,059 = 10,059 : x
2. Step 2: Convert to fraction form
   5,802/10,059 = 10,059/x
3. Step 3: Cross multiply
   5,802x = 10,059 × 10,059
4. Step 4: Simplify right side
   5,802x = 101,183,481
5. Step 5: Solve for x
   x = 101,183,481/5,802
6. Step 6: Final answer
   x = 17,439.41