Finding the Third Proportional to 32,740 and 72,734

Step by Step Solution

1. Step 1: Write the proportion equation
   32,740 : 72,734 = 72,734 : x
2. Step 2: Convert to fraction form
   32,740/72,734 = 72,734/x
3. Step 3: Cross multiply
   32,740x = 72,734 × 72,734
4. Step 4: Simplify right side
   32,740x = 5,290,234,756
5. Step 5: Solve for x
   x = 5,290,234,756/32,740
6. Step 6: Final answer
   x = 161,583.22