Finding the Third Proportional to 12,576.75 and 17,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,576.75 : 17,627.25 = 17,627.25 : x
2. Step 2: Convert to fraction form
   12,576.75/17,627.25 = 17,627.25/x
3. Step 3: Cross multiply
   12,576.75x = 17,627.25 × 17,627.25
4. Step 4: Simplify right side
   12,576.75x = 310,719,942.56
5. Step 5: Solve for x
   x = 310,719,942.56/12,576.75
6. Step 6: Final answer
   x = 24,705.90