Finding the Third Proportional to 37,596 and 80,864

Step by Step Solution

1. Step 1: Write the proportion equation
   37,596 : 80,864 = 80,864 : x
2. Step 2: Convert to fraction form
   37,596/80,864 = 80,864/x
3. Step 3: Cross multiply
   37,596x = 80,864 × 80,864
4. Step 4: Simplify right side
   37,596x = 6,538,986,496
5. Step 5: Solve for x
   x = 6,538,986,496/37,596
6. Step 6: Final answer
   x = 173,927.72