Finding the Third Proportional to 37,789.50 and 82,382.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,789.50 : 82,382.25 = 82,382.25 : x
2. Step 2: Convert to fraction form
   37,789.50/82,382.25 = 82,382.25/x
3. Step 3: Cross multiply
   37,789.50x = 82,382.25 × 82,382.25
4. Step 4: Simplify right side
   37,789.50x = 6,786,835,115.06
5. Step 5: Solve for x
   x = 6,786,835,115.06/37,789.50
6. Step 6: Final answer
   x = 179,595.79