Finding the Third Proportional to 21,206 and 31,192

Step by Step Solution

1. Step 1: Write the proportion equation
   21,206 : 31,192 = 31,192 : x
2. Step 2: Convert to fraction form
   21,206/31,192 = 31,192/x
3. Step 3: Cross multiply
   21,206x = 31,192 × 31,192
4. Step 4: Simplify right side
   21,206x = 972,940,864
5. Step 5: Solve for x
   x = 972,940,864/21,206
6. Step 6: Final answer
   x = 45,880.45