Finding the Third Proportional to 5,802 and 10,452

Step by Step Solution

1. Step 1: Write the proportion equation
   5,802 : 10,452 = 10,452 : x
2. Step 2: Convert to fraction form
   5,802/10,452 = 10,452/x
3. Step 3: Cross multiply
   5,802x = 10,452 × 10,452
4. Step 4: Simplify right side
   5,802x = 109,244,304
5. Step 5: Solve for x
   x = 109,244,304/5,802
6. Step 6: Final answer
   x = 18,828.73