Finding the Third Proportional to 31,567 and 69,694

Step by Step Solution

1. Step 1: Write the proportion equation
   31,567 : 69,694 = 69,694 : x
2. Step 2: Convert to fraction form
   31,567/69,694 = 69,694/x
3. Step 3: Cross multiply
   31,567x = 69,694 × 69,694
4. Step 4: Simplify right side
   31,567x = 4,857,253,636
5. Step 5: Solve for x
   x = 4,857,253,636/31,567
6. Step 6: Final answer
   x = 153,871.25