Finding the Third Proportional to 37,013 and 80,266

Step by Step Solution

1. Step 1: Write the proportion equation
   37,013 : 80,266 = 80,266 : x
2. Step 2: Convert to fraction form
   37,013/80,266 = 80,266/x
3. Step 3: Cross multiply
   37,013x = 80,266 × 80,266
4. Step 4: Simplify right side
   37,013x = 6,442,630,756
5. Step 5: Solve for x
   x = 6,442,630,756/37,013
6. Step 6: Final answer
   x = 174,064.00