Finding the Third Proportional to 10,002 and 19,842

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 19,842 = 19,842 : x
2. Step 2: Convert to fraction form
   10,002/19,842 = 19,842/x
3. Step 3: Cross multiply
   10,002x = 19,842 × 19,842
4. Step 4: Simplify right side
   10,002x = 393,704,964
5. Step 5: Solve for x
   x = 393,704,964/10,002
6. Step 6: Final answer
   x = 39,362.62