Finding the Third Proportional to 30,668 and 67,888

Step by Step Solution

1. Step 1: Write the proportion equation
   30,668 : 67,888 = 67,888 : x
2. Step 2: Convert to fraction form
   30,668/67,888 = 67,888/x
3. Step 3: Cross multiply
   30,668x = 67,888 × 67,888
4. Step 4: Simplify right side
   30,668x = 4,608,780,544
5. Step 5: Solve for x
   x = 4,608,780,544/30,668
6. Step 6: Final answer
   x = 150,279.79