Finding the Third Proportional to 3.61 and 5.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3.61 : 5.37 = 5.37 : x
2. Step 2: Convert to fraction form
   3.61/5.37 = 5.37/x
3. Step 3: Cross multiply
   3.61x = 5.37 × 5.37
4. Step 4: Simplify right side
   3.61x = 28.86
5. Step 5: Solve for x
   x = 28.86/3.61
6. Step 6: Final answer
   x = 8.00