Finding the Third Proportional to 37,700.44 and 82,872.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,700.44 : 82,872.56 = 82,872.56 : x
2. Step 2: Convert to fraction form
   37,700.44/82,872.56 = 82,872.56/x
3. Step 3: Cross multiply
   37,700.44x = 82,872.56 × 82,872.56
4. Step 4: Simplify right side
   37,700.44x = 6,867,861,615.32
5. Step 5: Solve for x
   x = 6,867,861,615.32/37,700.44
6. Step 6: Final answer
   x = 182,169.28