Finding the Third Proportional to 10,196 and 19,816

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 19,816 = 19,816 : x
2. Step 2: Convert to fraction form
   10,196/19,816 = 19,816/x
3. Step 3: Cross multiply
   10,196x = 19,816 × 19,816
4. Step 4: Simplify right side
   10,196x = 392,673,856
5. Step 5: Solve for x
   x = 392,673,856/10,196
6. Step 6: Final answer
   x = 38,512.54