Finding the Third Proportional to 2,658.25 and 5,722.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.25 : 5,722.72 = 5,722.72 : x
2. Step 2: Convert to fraction form
   2,658.25/5,722.72 = 5,722.72/x
3. Step 3: Cross multiply
   2,658.25x = 5,722.72 × 5,722.72
4. Step 4: Simplify right side
   2,658.25x = 32,749,509.89
5. Step 5: Solve for x
   x = 32,749,509.89/2,658.25
6. Step 6: Final answer
   x = 12,319.95