Finding the Third Proportional to 10,118 and 19,858

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118 : 19,858 = 19,858 : x
2. Step 2: Convert to fraction form
   10,118/19,858 = 19,858/x
3. Step 3: Cross multiply
   10,118x = 19,858 × 19,858
4. Step 4: Simplify right side
   10,118x = 394,340,164
5. Step 5: Solve for x
   x = 394,340,164/10,118
6. Step 6: Final answer
   x = 38,974.12