Finding the Third Proportional to 5,414.63 and 8,676.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,414.63 : 8,676.56 = 8,676.56 : x
2. Step 2: Convert to fraction form
   5,414.63/8,676.56 = 8,676.56/x
3. Step 3: Cross multiply
   5,414.63x = 8,676.56 × 8,676.56
4. Step 4: Simplify right side
   5,414.63x = 75,282,736.82
5. Step 5: Solve for x
   x = 75,282,736.82/5,414.63
6. Step 6: Final answer
   x = 13,903.59