Finding the Third Proportional to 31,204 and 67,588

Step by Step Solution

1. Step 1: Write the proportion equation
   31,204 : 67,588 = 67,588 : x
2. Step 2: Convert to fraction form
   31,204/67,588 = 67,588/x
3. Step 3: Cross multiply
   31,204x = 67,588 × 67,588
4. Step 4: Simplify right side
   31,204x = 4,568,137,744
5. Step 5: Solve for x
   x = 4,568,137,744/31,204
6. Step 6: Final answer
   x = 146,395.90