Finding the Third Proportional to 10,006 and 21,494

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 21,494 = 21,494 : x
2. Step 2: Convert to fraction form
   10,006/21,494 = 21,494/x
3. Step 3: Cross multiply
   10,006x = 21,494 × 21,494
4. Step 4: Simplify right side
   10,006x = 461,992,036
5. Step 5: Solve for x
   x = 461,992,036/10,006
6. Step 6: Final answer
   x = 46,171.50