Finding the Third Proportional to 5,002 and 10,324

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002 : 10,324 = 10,324 : x
2. Step 2: Convert to fraction form
   5,002/10,324 = 10,324/x
3. Step 3: Cross multiply
   5,002x = 10,324 × 10,324
4. Step 4: Simplify right side
   5,002x = 106,584,976
5. Step 5: Solve for x
   x = 106,584,976/5,002
6. Step 6: Final answer
   x = 21,308.47