Finding the Third Proportional to 36.78 and 74.04

Step by Step Solution

1. Step 1: Write the proportion equation
   36.78 : 74.04 = 74.04 : x
2. Step 2: Convert to fraction form
   36.78/74.04 = 74.04/x
3. Step 3: Cross multiply
   36.78x = 74.04 × 74.04
4. Step 4: Simplify right side
   36.78x = 5,481.78
5. Step 5: Solve for x
   x = 5,481.78/36.78
6. Step 6: Final answer
   x = 149.03