Finding the Third Proportional to 10,006 and 21,913

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 21,913 = 21,913 : x
2. Step 2: Convert to fraction form
   10,006/21,913 = 21,913/x
3. Step 3: Cross multiply
   10,006x = 21,913 × 21,913
4. Step 4: Simplify right side
   10,006x = 480,179,569
5. Step 5: Solve for x
   x = 480,179,569/10,006
6. Step 6: Final answer
   x = 47,989.16