Finding the Third Proportional to 37,760 and 82,976

Step by Step Solution

1. Step 1: Write the proportion equation
   37,760 : 82,976 = 82,976 : x
2. Step 2: Convert to fraction form
   37,760/82,976 = 82,976/x
3. Step 3: Cross multiply
   37,760x = 82,976 × 82,976
4. Step 4: Simplify right side
   37,760x = 6,885,016,576
5. Step 5: Solve for x
   x = 6,885,016,576/37,760
6. Step 6: Final answer
   x = 182,336.24