Finding the Third Proportional to 33.50 and 54.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33.50 : 54.69 = 54.69 : x
2. Step 2: Convert to fraction form
   33.50/54.69 = 54.69/x
3. Step 3: Cross multiply
   33.50x = 54.69 × 54.69
4. Step 4: Simplify right side
   33.50x = 2,990.72
5. Step 5: Solve for x
   x = 2,990.72/33.50
6. Step 6: Final answer
   x = 89.28