Finding the Third Proportional to 31,868 and 69,874

Step by Step Solution

1. Step 1: Write the proportion equation
   31,868 : 69,874 = 69,874 : x
2. Step 2: Convert to fraction form
   31,868/69,874 = 69,874/x
3. Step 3: Cross multiply
   31,868x = 69,874 × 69,874
4. Step 4: Simplify right side
   31,868x = 4,882,375,876
5. Step 5: Solve for x
   x = 4,882,375,876/31,868
6. Step 6: Final answer
   x = 153,206.22