Finding the Third Proportional to 31,767 and 69,067.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,767 : 69,067.31 = 69,067.31 : x
2. Step 2: Convert to fraction form
   31,767/69,067.31 = 69,067.31/x
3. Step 3: Cross multiply
   31,767x = 69,067.31 × 69,067.31
4. Step 4: Simplify right side
   31,767x = 4,770,293,655.97
5. Step 5: Solve for x
   x = 4,770,293,655.97/31,767
6. Step 6: Final answer
   x = 150,165.07