Finding the Third Proportional to 33.74 and 53.78

Step by Step Solution

1. Step 1: Write the proportion equation
   33.74 : 53.78 = 53.78 : x
2. Step 2: Convert to fraction form
   33.74/53.78 = 53.78/x
3. Step 3: Cross multiply
   33.74x = 53.78 × 53.78
4. Step 4: Simplify right side
   33.74x = 2,892.16
5. Step 5: Solve for x
   x = 2,892.16/33.74
6. Step 6: Final answer
   x = 85.73