Finding the Third Proportional to 10,006 and 21,396

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 21,396 = 21,396 : x
2. Step 2: Convert to fraction form
   10,006/21,396 = 21,396/x
3. Step 3: Cross multiply
   10,006x = 21,396 × 21,396
4. Step 4: Simplify right side
   10,006x = 457,788,816
5. Step 5: Solve for x
   x = 457,788,816/10,006
6. Step 6: Final answer
   x = 45,751.43