Finding the Third Proportional to 2,452.50 and 5,193

Step by Step Solution

1. Step 1: Write the proportion equation
   2,452.50 : 5,193 = 5,193 : x
2. Step 2: Convert to fraction form
   2,452.50/5,193 = 5,193/x
3. Step 3: Cross multiply
   2,452.50x = 5,193 × 5,193
4. Step 4: Simplify right side
   2,452.50x = 26,967,249
5. Step 5: Solve for x
   x = 26,967,249/2,452.50
6. Step 6: Final answer
   x = 10,995.82