Finding the Third Proportional to 20,186 and 31,383

Step by Step Solution

1. Step 1: Write the proportion equation
   20,186 : 31,383 = 31,383 : x
2. Step 2: Convert to fraction form
   20,186/31,383 = 31,383/x
3. Step 3: Cross multiply
   20,186x = 31,383 × 31,383
4. Step 4: Simplify right side
   20,186x = 984,892,689
5. Step 5: Solve for x
   x = 984,892,689/20,186
6. Step 6: Final answer
   x = 48,790.88