Finding the Third Proportional to 14,686 and 31,766

Step by Step Solution

1. Step 1: Write the proportion equation
   14,686 : 31,766 = 31,766 : x
2. Step 2: Convert to fraction form
   14,686/31,766 = 31,766/x
3. Step 3: Cross multiply
   14,686x = 31,766 × 31,766
4. Step 4: Simplify right side
   14,686x = 1,009,078,756
5. Step 5: Solve for x
   x = 1,009,078,756/14,686
6. Step 6: Final answer
   x = 68,710.25