Finding the Third Proportional to 50.75 and 91.56

Step by Step Solution

1. Step 1: Write the proportion equation
   50.75 : 91.56 = 91.56 : x
2. Step 2: Convert to fraction form
   50.75/91.56 = 91.56/x
3. Step 3: Cross multiply
   50.75x = 91.56 × 91.56
4. Step 4: Simplify right side
   50.75x = 8,383.69
5. Step 5: Solve for x
   x = 8,383.69/50.75
6. Step 6: Final answer
   x = 165.20