Finding the Third Proportional to 3,180.09 and 5,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,180.09 : 5,676.75 = 5,676.75 : x
2. Step 2: Convert to fraction form
   3,180.09/5,676.75 = 5,676.75/x
3. Step 3: Cross multiply
   3,180.09x = 5,676.75 × 5,676.75
4. Step 4: Simplify right side
   3,180.09x = 32,225,490.56
5. Step 5: Solve for x
   x = 32,225,490.56/3,180.09
6. Step 6: Final answer
   x = 10,133.50