Finding the Third Proportional to 36.75 and 53.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36.75 : 53.25 = 53.25 : x
2. Step 2: Convert to fraction form
   36.75/53.25 = 53.25/x
3. Step 3: Cross multiply
   36.75x = 53.25 × 53.25
4. Step 4: Simplify right side
   36.75x = 2,835.56
5. Step 5: Solve for x
   x = 2,835.56/36.75
6. Step 6: Final answer
   x = 77.16