Finding the Third Proportional to 10,006 and 19,850

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 19,850 = 19,850 : x
2. Step 2: Convert to fraction form
   10,006/19,850 = 19,850/x
3. Step 3: Cross multiply
   10,006x = 19,850 × 19,850
4. Step 4: Simplify right side
   10,006x = 394,022,500
5. Step 5: Solve for x
   x = 394,022,500/10,006
6. Step 6: Final answer
   x = 39,378.62