Finding the Third Proportional to 36.52 and 78.78

Step by Step Solution

1. Step 1: Write the proportion equation
   36.52 : 78.78 = 78.78 : x
2. Step 2: Convert to fraction form
   36.52/78.78 = 78.78/x
3. Step 3: Cross multiply
   36.52x = 78.78 × 78.78
4. Step 4: Simplify right side
   36.52x = 6,205.93
5. Step 5: Solve for x
   x = 6,205.93/36.52
6. Step 6: Final answer
   x = 169.92