Finding the Third Proportional to 36,591.75 and 79,815.38

Step by Step Solution

1. Step 1: Write the proportion equation
   36,591.75 : 79,815.38 = 79,815.38 : x
2. Step 2: Convert to fraction form
   36,591.75/79,815.38 = 79,815.38/x
3. Step 3: Cross multiply
   36,591.75x = 79,815.38 × 79,815.38
4. Step 4: Simplify right side
   36,591.75x = 6,370,494,086.39
5. Step 5: Solve for x
   x = 6,370,494,086.39/36,591.75
6. Step 6: Final answer
   x = 174,096.46