Finding the Third Proportional to 41,015 and 89,145

Step by Step Solution

1. Step 1: Write the proportion equation
   41,015 : 89,145 = 89,145 : x
2. Step 2: Convert to fraction form
   41,015/89,145 = 89,145/x
3. Step 3: Cross multiply
   41,015x = 89,145 × 89,145
4. Step 4: Simplify right side
   41,015x = 7,946,831,025
5. Step 5: Solve for x
   x = 7,946,831,025/41,015
6. Step 6: Final answer
   x = 193,754.26