Finding the Third Proportional to 41.81 and 94.69

Step by Step Solution

1. Step 1: Write the proportion equation
   41.81 : 94.69 = 94.69 : x
2. Step 2: Convert to fraction form
   41.81/94.69 = 94.69/x
3. Step 3: Cross multiply
   41.81x = 94.69 × 94.69
4. Step 4: Simplify right side
   41.81x = 8,965.72
5. Step 5: Solve for x
   x = 8,965.72/41.81
6. Step 6: Final answer
   x = 214.43