Finding the Third Proportional to 32,274 and 67,504

Step by Step Solution

1. Step 1: Write the proportion equation
   32,274 : 67,504 = 67,504 : x
2. Step 2: Convert to fraction form
   32,274/67,504 = 67,504/x
3. Step 3: Cross multiply
   32,274x = 67,504 × 67,504
4. Step 4: Simplify right side
   32,274x = 4,556,790,016
5. Step 5: Solve for x
   x = 4,556,790,016/32,274
6. Step 6: Final answer
   x = 141,190.74