Finding the Third Proportional to 50.94 and 89.69

Step by Step Solution

1. Step 1: Write the proportion equation
   50.94 : 89.69 = 89.69 : x
2. Step 2: Convert to fraction form
   50.94/89.69 = 89.69/x
3. Step 3: Cross multiply
   50.94x = 89.69 × 89.69
4. Step 4: Simplify right side
   50.94x = 8,043.85
5. Step 5: Solve for x
   x = 8,043.85/50.94
6. Step 6: Final answer
   x = 157.92