Finding the Third Proportional to 32,467 and 67,530

Step by Step Solution

1. Step 1: Write the proportion equation
   32,467 : 67,530 = 67,530 : x
2. Step 2: Convert to fraction form
   32,467/67,530 = 67,530/x
3. Step 3: Cross multiply
   32,467x = 67,530 × 67,530
4. Step 4: Simplify right side
   32,467x = 4,560,300,900
5. Step 5: Solve for x
   x = 4,560,300,900/32,467
6. Step 6: Final answer
   x = 140,459.57