Finding the Third Proportional to 37,767 and 80,878

Step by Step Solution

1. Step 1: Write the proportion equation
   37,767 : 80,878 = 80,878 : x
2. Step 2: Convert to fraction form
   37,767/80,878 = 80,878/x
3. Step 3: Cross multiply
   37,767x = 80,878 × 80,878
4. Step 4: Simplify right side
   37,767x = 6,541,250,884
5. Step 5: Solve for x
   x = 6,541,250,884/37,767
6. Step 6: Final answer
   x = 173,200.17