Finding the Third Proportional to 30,591 and 67,743

Step by Step Solution

1. Step 1: Write the proportion equation
   30,591 : 67,743 = 67,743 : x
2. Step 2: Convert to fraction form
   30,591/67,743 = 67,743/x
3. Step 3: Cross multiply
   30,591x = 67,743 × 67,743
4. Step 4: Simplify right side
   30,591x = 4,589,114,049
5. Step 5: Solve for x
   x = 4,589,114,049/30,591
6. Step 6: Final answer
   x = 150,015.17