Finding the Third Proportional to 8,002 and 17,858

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002 : 17,858 = 17,858 : x
2. Step 2: Convert to fraction form
   8,002/17,858 = 17,858/x
3. Step 3: Cross multiply
   8,002x = 17,858 × 17,858
4. Step 4: Simplify right side
   8,002x = 318,908,164
5. Step 5: Solve for x
   x = 318,908,164/8,002
6. Step 6: Final answer
   x = 39,853.56