Finding the Third Proportional to 20,648 and 31,166

Step by Step Solution

1. Step 1: Write the proportion equation
   20,648 : 31,166 = 31,166 : x
2. Step 2: Convert to fraction form
   20,648/31,166 = 31,166/x
3. Step 3: Cross multiply
   20,648x = 31,166 × 31,166
4. Step 4: Simplify right side
   20,648x = 971,319,556
5. Step 5: Solve for x
   x = 971,319,556/20,648
6. Step 6: Final answer
   x = 47,041.82