Finding the Third Proportional to 38,245.50 and 82,845.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,245.50 : 82,845.75 = 82,845.75 : x
2. Step 2: Convert to fraction form
   38,245.50/82,845.75 = 82,845.75/x
3. Step 3: Cross multiply
   38,245.50x = 82,845.75 × 82,845.75
4. Step 4: Simplify right side
   38,245.50x = 6,863,418,293.06
5. Step 5: Solve for x
   x = 6,863,418,293.06/38,245.50
6. Step 6: Final answer
   x = 179,456.88