Finding the Third Proportional to 37,540 and 82,824

Step by Step Solution

1. Step 1: Write the proportion equation
   37,540 : 82,824 = 82,824 : x
2. Step 2: Convert to fraction form
   37,540/82,824 = 82,824/x
3. Step 3: Cross multiply
   37,540x = 82,824 × 82,824
4. Step 4: Simplify right side
   37,540x = 6,859,814,976
5. Step 5: Solve for x
   x = 6,859,814,976/37,540
6. Step 6: Final answer
   x = 182,733.48