Finding the Third Proportional to 32,583 and 67,734

Step by Step Solution

1. Step 1: Write the proportion equation
   32,583 : 67,734 = 67,734 : x
2. Step 2: Convert to fraction form
   32,583/67,734 = 67,734/x
3. Step 3: Cross multiply
   32,583x = 67,734 × 67,734
4. Step 4: Simplify right side
   32,583x = 4,587,894,756
5. Step 5: Solve for x
   x = 4,587,894,756/32,583
6. Step 6: Final answer
   x = 140,806.39