Finding the Third Proportional to 4,230.50 and 5,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,230.50 : 5,676.50 = 5,676.50 : x
2. Step 2: Convert to fraction form
   4,230.50/5,676.50 = 5,676.50/x
3. Step 3: Cross multiply
   4,230.50x = 5,676.50 × 5,676.50
4. Step 4: Simplify right side
   4,230.50x = 32,222,652.25
5. Step 5: Solve for x
   x = 32,222,652.25/4,230.50
6. Step 6: Final answer
   x = 7,616.75