Finding the Third Proportional to 20,166 and 31,299

Step by Step Solution

1. Step 1: Write the proportion equation
   20,166 : 31,299 = 31,299 : x
2. Step 2: Convert to fraction form
   20,166/31,299 = 31,299/x
3. Step 3: Cross multiply
   20,166x = 31,299 × 31,299
4. Step 4: Simplify right side
   20,166x = 979,627,401
5. Step 5: Solve for x
   x = 979,627,401/20,166
6. Step 6: Final answer
   x = 48,578.17