Finding the Third Proportional to 10,002 and 17,844

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 17,844 = 17,844 : x
2. Step 2: Convert to fraction form
   10,002/17,844 = 17,844/x
3. Step 3: Cross multiply
   10,002x = 17,844 × 17,844
4. Step 4: Simplify right side
   10,002x = 318,408,336
5. Step 5: Solve for x
   x = 318,408,336/10,002
6. Step 6: Final answer
   x = 31,834.47