Finding the Third Proportional to 31,874 and 86,712

Step by Step Solution

1. Step 1: Write the proportion equation
   31,874 : 86,712 = 86,712 : x
2. Step 2: Convert to fraction form
   31,874/86,712 = 86,712/x
3. Step 3: Cross multiply
   31,874x = 86,712 × 86,712
4. Step 4: Simplify right side
   31,874x = 7,518,970,944
5. Step 5: Solve for x
   x = 7,518,970,944/31,874
6. Step 6: Final answer
   x = 235,896.69