Finding the Third Proportional to 2,576.25 and 5,658.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.25 : 5,658.75 = 5,658.75 : x
2. Step 2: Convert to fraction form
   2,576.25/5,658.75 = 5,658.75/x
3. Step 3: Cross multiply
   2,576.25x = 5,658.75 × 5,658.75
4. Step 4: Simplify right side
   2,576.25x = 32,021,451.56
5. Step 5: Solve for x
   x = 32,021,451.56/2,576.25
6. Step 6: Final answer
   x = 12,429.48