Finding the Third Proportional to 10,002 and 17,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 17,826 = 17,826 : x
2. Step 2: Convert to fraction form
   10,002/17,826 = 17,826/x
3. Step 3: Cross multiply
   10,002x = 17,826 × 17,826
4. Step 4: Simplify right side
   10,002x = 317,766,276
5. Step 5: Solve for x
   x = 317,766,276/10,002
6. Step 6: Final answer
   x = 31,770.27