Finding the Third Proportional to 10,002 and 21,642

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 21,642 = 21,642 : x
2. Step 2: Convert to fraction form
   10,002/21,642 = 21,642/x
3. Step 3: Cross multiply
   10,002x = 21,642 × 21,642
4. Step 4: Simplify right side
   10,002x = 468,376,164
5. Step 5: Solve for x
   x = 468,376,164/10,002
6. Step 6: Final answer
   x = 46,828.25