Finding the Third Proportional to 32,544 and 67,640

Step by Step Solution

1. Step 1: Write the proportion equation
   32,544 : 67,640 = 67,640 : x
2. Step 2: Convert to fraction form
   32,544/67,640 = 67,640/x
3. Step 3: Cross multiply
   32,544x = 67,640 × 67,640
4. Step 4: Simplify right side
   32,544x = 4,575,169,600
5. Step 5: Solve for x
   x = 4,575,169,600/32,544
6. Step 6: Final answer
   x = 140,584.12