Finding the Third Proportional to 37,682 and 80,827

Step by Step Solution

1. Step 1: Write the proportion equation
   37,682 : 80,827 = 80,827 : x
2. Step 2: Convert to fraction form
   37,682/80,827 = 80,827/x
3. Step 3: Cross multiply
   37,682x = 80,827 × 80,827
4. Step 4: Simplify right side
   37,682x = 6,533,003,929
5. Step 5: Solve for x
   x = 6,533,003,929/37,682
6. Step 6: Final answer
   x = 173,372.01