Finding the Third Proportional to 9,256.78 and 19,576.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.78 : 19,576.69 = 19,576.69 : x
2. Step 2: Convert to fraction form
   9,256.78/19,576.69 = 19,576.69/x
3. Step 3: Cross multiply
   9,256.78x = 19,576.69 × 19,576.69
4. Step 4: Simplify right side
   9,256.78x = 383,246,693.47
5. Step 5: Solve for x
   x = 383,246,693.47/9,256.78
6. Step 6: Final answer
   x = 41,401.72