Finding the Third Proportional to 17,412 and 41,096

Step by Step Solution

1. Step 1: Write the proportion equation
   17,412 : 41,096 = 41,096 : x
2. Step 2: Convert to fraction form
   17,412/41,096 = 41,096/x
3. Step 3: Cross multiply
   17,412x = 41,096 × 41,096
4. Step 4: Simplify right side
   17,412x = 1,688,881,216
5. Step 5: Solve for x
   x = 1,688,881,216/17,412
6. Step 6: Final answer
   x = 96,995.25