Finding the Third Proportional to 2,872.50 and 4,500

Step by Step Solution

1. Step 1: Write the proportion equation
   2,872.50 : 4,500 = 4,500 : x
2. Step 2: Convert to fraction form
   2,872.50/4,500 = 4,500/x
3. Step 3: Cross multiply
   2,872.50x = 4,500 × 4,500
4. Step 4: Simplify right side
   2,872.50x = 20,250,000
5. Step 5: Solve for x
   x = 20,250,000/2,872.50
6. Step 6: Final answer
   x = 7,049.61