Finding the Third Proportional to 33.82 and 53.39

Step by Step Solution

1. Step 1: Write the proportion equation
   33.82 : 53.39 = 53.39 : x
2. Step 2: Convert to fraction form
   33.82/53.39 = 53.39/x
3. Step 3: Cross multiply
   33.82x = 53.39 × 53.39
4. Step 4: Simplify right side
   33.82x = 2,850.87
5. Step 5: Solve for x
   x = 2,850.87/33.82
6. Step 6: Final answer
   x = 84.31