Finding the Third Proportional to 2,143.50 and 4,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,143.50 : 4,676.75 = 4,676.75 : x
2. Step 2: Convert to fraction form
   2,143.50/4,676.75 = 4,676.75/x
3. Step 3: Cross multiply
   2,143.50x = 4,676.75 × 4,676.75
4. Step 4: Simplify right side
   2,143.50x = 21,871,990.56
5. Step 5: Solve for x
   x = 21,871,990.56/2,143.50
6. Step 6: Final answer
   x = 10,203.87