Finding the Third Proportional to 10,009 and 21,556

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009 : 21,556 = 21,556 : x
2. Step 2: Convert to fraction form
   10,009/21,556 = 21,556/x
3. Step 3: Cross multiply
   10,009x = 21,556 × 21,556
4. Step 4: Simplify right side
   10,009x = 464,661,136
5. Step 5: Solve for x
   x = 464,661,136/10,009
6. Step 6: Final answer
   x = 46,424.33