Finding the Third Proportional to 10,192 and 19,712

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192 : 19,712 = 19,712 : x
2. Step 2: Convert to fraction form
   10,192/19,712 = 19,712/x
3. Step 3: Cross multiply
   10,192x = 19,712 × 19,712
4. Step 4: Simplify right side
   10,192x = 388,562,944
5. Step 5: Solve for x
   x = 388,562,944/10,192
6. Step 6: Final answer
   x = 38,124.31