Finding the Third Proportional to 35,540 and 82,287

Step by Step Solution

1. Step 1: Write the proportion equation
   35,540 : 82,287 = 82,287 : x
2. Step 2: Convert to fraction form
   35,540/82,287 = 82,287/x
3. Step 3: Cross multiply
   35,540x = 82,287 × 82,287
4. Step 4: Simplify right side
   35,540x = 6,771,150,369
5. Step 5: Solve for x
   x = 6,771,150,369/35,540
6. Step 6: Final answer
   x = 190,521.96