Finding the Third Proportional to 10,006 and 21,860

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 21,860 = 21,860 : x
2. Step 2: Convert to fraction form
   10,006/21,860 = 21,860/x
3. Step 3: Cross multiply
   10,006x = 21,860 × 21,860
4. Step 4: Simplify right side
   10,006x = 477,859,600
5. Step 5: Solve for x
   x = 477,859,600/10,006
6. Step 6: Final answer
   x = 47,757.31