Finding the Third Proportional to 37,626.75 and 82,253.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,626.75 : 82,253.25 = 82,253.25 : x
2. Step 2: Convert to fraction form
   37,626.75/82,253.25 = 82,253.25/x
3. Step 3: Cross multiply
   37,626.75x = 82,253.25 × 82,253.25
4. Step 4: Simplify right side
   37,626.75x = 6,765,597,135.56
5. Step 5: Solve for x
   x = 6,765,597,135.56/37,626.75
6. Step 6: Final answer
   x = 179,808.17