Finding the Third Proportional to 37,434 and 80,864

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434 : 80,864 = 80,864 : x
2. Step 2: Convert to fraction form
   37,434/80,864 = 80,864/x
3. Step 3: Cross multiply
   37,434x = 80,864 × 80,864
4. Step 4: Simplify right side
   37,434x = 6,538,986,496
5. Step 5: Solve for x
   x = 6,538,986,496/37,434
6. Step 6: Final answer
   x = 174,680.41