Finding the Third Proportional to 37,746 and 80,325

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 80,325 = 80,325 : x
2. Step 2: Convert to fraction form
   37,746/80,325 = 80,325/x
3. Step 3: Cross multiply
   37,746x = 80,325 × 80,325
4. Step 4: Simplify right side
   37,746x = 6,452,105,625
5. Step 5: Solve for x
   x = 6,452,105,625/37,746
6. Step 6: Final answer
   x = 170,934.82