Finding the Third Proportional to 37,066 and 82,419

Step by Step Solution

1. Step 1: Write the proportion equation
   37,066 : 82,419 = 82,419 : x
2. Step 2: Convert to fraction form
   37,066/82,419 = 82,419/x
3. Step 3: Cross multiply
   37,066x = 82,419 × 82,419
4. Step 4: Simplify right side
   37,066x = 6,792,891,561
5. Step 5: Solve for x
   x = 6,792,891,561/37,066
6. Step 6: Final answer
   x = 183,264.76