Finding the Third Proportional to 1,191.38 and 3,231.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.38 : 3,231.56 = 3,231.56 : x
2. Step 2: Convert to fraction form
   1,191.38/3,231.56 = 3,231.56/x
3. Step 3: Cross multiply
   1,191.38x = 3,231.56 × 3,231.56
4. Step 4: Simplify right side
   1,191.38x = 10,442,996.19
5. Step 5: Solve for x
   x = 10,442,996.19/1,191.38
6. Step 6: Final answer
   x = 8,765.50