Finding the Third Proportional to 30,646 and 67,034

Step by Step Solution

1. Step 1: Write the proportion equation
   30,646 : 67,034 = 67,034 : x
2. Step 2: Convert to fraction form
   30,646/67,034 = 67,034/x
3. Step 3: Cross multiply
   30,646x = 67,034 × 67,034
4. Step 4: Simplify right side
   30,646x = 4,493,557,156
5. Step 5: Solve for x
   x = 4,493,557,156/30,646
6. Step 6: Final answer
   x = 146,627.85