Finding the Third Proportional to 19,576 and 41,096

Step by Step Solution

1. Step 1: Write the proportion equation
   19,576 : 41,096 = 41,096 : x
2. Step 2: Convert to fraction form
   19,576/41,096 = 41,096/x
3. Step 3: Cross multiply
   19,576x = 41,096 × 41,096
4. Step 4: Simplify right side
   19,576x = 1,688,881,216
5. Step 5: Solve for x
   x = 1,688,881,216/19,576
6. Step 6: Final answer
   x = 86,273.05