Finding the Third Proportional to 37,112 and 80,885

Step by Step Solution

1. Step 1: Write the proportion equation
   37,112 : 80,885 = 80,885 : x
2. Step 2: Convert to fraction form
   37,112/80,885 = 80,885/x
3. Step 3: Cross multiply
   37,112x = 80,885 × 80,885
4. Step 4: Simplify right side
   37,112x = 6,542,383,225
5. Step 5: Solve for x
   x = 6,542,383,225/37,112
6. Step 6: Final answer
   x = 176,287.54