Finding the Third Proportional to 0.37 and 0.52

Step by Step Solution

1. Step 1: Write the proportion equation
   0.37 : 0.52 = 0.52 : x
2. Step 2: Convert to fraction form
   0.37/0.52 = 0.52/x
3. Step 3: Cross multiply
   0.37x = 0.52 × 0.52
4. Step 4: Simplify right side
   0.37x = 0.27
5. Step 5: Solve for x
   x = 0.27/0.37
6. Step 6: Final answer
   x = 0.75