Finding the Third Proportional to 37,914.75 and 82,550.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,914.75 : 82,550.25 = 82,550.25 : x
2. Step 2: Convert to fraction form
   37,914.75/82,550.25 = 82,550.25/x
3. Step 3: Cross multiply
   37,914.75x = 82,550.25 × 82,550.25
4. Step 4: Simplify right side
   37,914.75x = 6,814,543,775.06
5. Step 5: Solve for x
   x = 6,814,543,775.06/37,914.75
6. Step 6: Final answer
   x = 179,733.32