Finding the Third Proportional to 33.75 and 51.31

Step by Step Solution

1. Step 1: Write the proportion equation
   33.75 : 51.31 = 51.31 : x
2. Step 2: Convert to fraction form
   33.75/51.31 = 51.31/x
3. Step 3: Cross multiply
   33.75x = 51.31 × 51.31
4. Step 4: Simplify right side
   33.75x = 2,632.97
5. Step 5: Solve for x
   x = 2,632.97/33.75
6. Step 6: Final answer
   x = 78.01