Finding the Third Proportional to 37,682.91 and 80,829.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,682.91 : 80,829.56 = 80,829.56 : x
2. Step 2: Convert to fraction form
   37,682.91/80,829.56 = 80,829.56/x
3. Step 3: Cross multiply
   37,682.91x = 80,829.56 × 80,829.56
4. Step 4: Simplify right side
   37,682.91x = 6,533,418,173.94
5. Step 5: Solve for x
   x = 6,533,418,173.94/37,682.91
6. Step 6: Final answer
   x = 173,378.83