Finding the Third Proportional to 37,996 and 82,681

Step by Step Solution

1. Step 1: Write the proportion equation
   37,996 : 82,681 = 82,681 : x
2. Step 2: Convert to fraction form
   37,996/82,681 = 82,681/x
3. Step 3: Cross multiply
   37,996x = 82,681 × 82,681
4. Step 4: Simplify right side
   37,996x = 6,836,147,761
5. Step 5: Solve for x
   x = 6,836,147,761/37,996
6. Step 6: Final answer
   x = 179,917.56