Finding the Third Proportional to 2,684.81 and 5,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.81 : 5,676.75 = 5,676.75 : x
2. Step 2: Convert to fraction form
   2,684.81/5,676.75 = 5,676.75/x
3. Step 3: Cross multiply
   2,684.81x = 5,676.75 × 5,676.75
4. Step 4: Simplify right side
   2,684.81x = 32,225,490.56
5. Step 5: Solve for x
   x = 32,225,490.56/2,684.81
6. Step 6: Final answer
   x = 12,002.88