Finding the Third Proportional to 41.63 and 90.56

Step by Step Solution

1. Step 1: Write the proportion equation
   41.63 : 90.56 = 90.56 : x
2. Step 2: Convert to fraction form
   41.63/90.56 = 90.56/x
3. Step 3: Cross multiply
   41.63x = 90.56 × 90.56
4. Step 4: Simplify right side
   41.63x = 8,201.57
5. Step 5: Solve for x
   x = 8,201.57/41.63
6. Step 6: Final answer
   x = 197.03