Finding the Third Proportional to 17.50 and 33.81

Step by Step Solution

1. Step 1: Write the proportion equation
   17.50 : 33.81 = 33.81 : x
2. Step 2: Convert to fraction form
   17.50/33.81 = 33.81/x
3. Step 3: Cross multiply
   17.50x = 33.81 × 33.81
4. Step 4: Simplify right side
   17.50x = 1,143.29
5. Step 5: Solve for x
   x = 1,143.29/17.50
6. Step 6: Final answer
   x = 65.33