Finding the Third Proportional to 19,686 and 31,305

Step by Step Solution

1. Step 1: Write the proportion equation
   19,686 : 31,305 = 31,305 : x
2. Step 2: Convert to fraction form
   19,686/31,305 = 31,305/x
3. Step 3: Cross multiply
   19,686x = 31,305 × 31,305
4. Step 4: Simplify right side
   19,686x = 980,003,025
5. Step 5: Solve for x
   x = 980,003,025/19,686
6. Step 6: Final answer
   x = 49,781.72