Finding the Third Proportional to 31,564 and 69,067

Step by Step Solution

1. Step 1: Write the proportion equation
   31,564 : 69,067 = 69,067 : x
2. Step 2: Convert to fraction form
   31,564/69,067 = 69,067/x
3. Step 3: Cross multiply
   31,564x = 69,067 × 69,067
4. Step 4: Simplify right side
   31,564x = 4,770,250,489
5. Step 5: Solve for x
   x = 4,770,250,489/31,564
6. Step 6: Final answer
   x = 151,129.47