Finding the Third Proportional to 30,593 and 67,747

Step by Step Solution

1. Step 1: Write the proportion equation
   30,593 : 67,747 = 67,747 : x
2. Step 2: Convert to fraction form
   30,593/67,747 = 67,747/x
3. Step 3: Cross multiply
   30,593x = 67,747 × 67,747
4. Step 4: Simplify right side
   30,593x = 4,589,656,009
5. Step 5: Solve for x
   x = 4,589,656,009/30,593
6. Step 6: Final answer
   x = 150,023.08