Finding the Third Proportional to 41.14 and 89.52

Step by Step Solution

1. Step 1: Write the proportion equation
   41.14 : 89.52 = 89.52 : x
2. Step 2: Convert to fraction form
   41.14/89.52 = 89.52/x
3. Step 3: Cross multiply
   41.14x = 89.52 × 89.52
4. Step 4: Simplify right side
   41.14x = 8,014.40
5. Step 5: Solve for x
   x = 8,014.40/41.14
6. Step 6: Final answer
   x = 194.80