Finding the Third Proportional to 37,581 and 80,976

Step by Step Solution

1. Step 1: Write the proportion equation
   37,581 : 80,976 = 80,976 : x
2. Step 2: Convert to fraction form
   37,581/80,976 = 80,976/x
3. Step 3: Cross multiply
   37,581x = 80,976 × 80,976
4. Step 4: Simplify right side
   37,581x = 6,557,112,576
5. Step 5: Solve for x
   x = 6,557,112,576/37,581
6. Step 6: Final answer
   x = 174,479.46