Finding the Third Proportional to 12,576.75 and 25,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,576.75 : 25,609.50 = 25,609.50 : x
2. Step 2: Convert to fraction form
   12,576.75/25,609.50 = 25,609.50/x
3. Step 3: Cross multiply
   12,576.75x = 25,609.50 × 25,609.50
4. Step 4: Simplify right side
   12,576.75x = 655,846,490.25
5. Step 5: Solve for x
   x = 655,846,490.25/12,576.75
6. Step 6: Final answer
   x = 52,147.53