Finding the Third Proportional to 33.50 and 53.84

Step by Step Solution

1. Step 1: Write the proportion equation
   33.50 : 53.84 = 53.84 : x
2. Step 2: Convert to fraction form
   33.50/53.84 = 53.84/x
3. Step 3: Cross multiply
   33.50x = 53.84 × 53.84
4. Step 4: Simplify right side
   33.50x = 2,899.15
5. Step 5: Solve for x
   x = 2,899.15/33.50
6. Step 6: Final answer
   x = 86.54