Finding the Third Proportional to 31,164 and 67,612

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164 : 67,612 = 67,612 : x
2. Step 2: Convert to fraction form
   31,164/67,612 = 67,612/x
3. Step 3: Cross multiply
   31,164x = 67,612 × 67,612
4. Step 4: Simplify right side
   31,164x = 4,571,382,544
5. Step 5: Solve for x
   x = 4,571,382,544/31,164
6. Step 6: Final answer
   x = 146,687.93