Finding the Third Proportional to 10,192 and 19,808

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192 : 19,808 = 19,808 : x
2. Step 2: Convert to fraction form
   10,192/19,808 = 19,808/x
3. Step 3: Cross multiply
   10,192x = 19,808 × 19,808
4. Step 4: Simplify right side
   10,192x = 392,356,864
5. Step 5: Solve for x
   x = 392,356,864/10,192
6. Step 6: Final answer
   x = 38,496.55