Finding the Third Proportional to 24,016 and 31,869

Step by Step Solution

1. Step 1: Write the proportion equation
   24,016 : 31,869 = 31,869 : x
2. Step 2: Convert to fraction form
   24,016/31,869 = 31,869/x
3. Step 3: Cross multiply
   24,016x = 31,869 × 31,869
4. Step 4: Simplify right side
   24,016x = 1,015,633,161
5. Step 5: Solve for x
   x = 1,015,633,161/24,016
6. Step 6: Final answer
   x = 42,289.86