Finding the Third Proportional to 37,400 and 80,128

Step by Step Solution

1. Step 1: Write the proportion equation
   37,400 : 80,128 = 80,128 : x
2. Step 2: Convert to fraction form
   37,400/80,128 = 80,128/x
3. Step 3: Cross multiply
   37,400x = 80,128 × 80,128
4. Step 4: Simplify right side
   37,400x = 6,420,496,384
5. Step 5: Solve for x
   x = 6,420,496,384/37,400
6. Step 6: Final answer
   x = 171,671.03