Finding the Third Proportional to 37,355 and 80,374

Step by Step Solution

1. Step 1: Write the proportion equation
   37,355 : 80,374 = 80,374 : x
2. Step 2: Convert to fraction form
   37,355/80,374 = 80,374/x
3. Step 3: Cross multiply
   37,355x = 80,374 × 80,374
4. Step 4: Simplify right side
   37,355x = 6,459,979,876
5. Step 5: Solve for x
   x = 6,459,979,876/37,355
6. Step 6: Final answer
   x = 172,934.81