Finding the Third Proportional to 41,576 and 89,484

Step by Step Solution

1. Step 1: Write the proportion equation
   41,576 : 89,484 = 89,484 : x
2. Step 2: Convert to fraction form
   41,576/89,484 = 89,484/x
3. Step 3: Cross multiply
   41,576x = 89,484 × 89,484
4. Step 4: Simplify right side
   41,576x = 8,007,386,256
5. Step 5: Solve for x
   x = 8,007,386,256/41,576
6. Step 6: Final answer
   x = 192,596.36