Finding the Third Proportional to 0.52 and 0.82

Step by Step Solution

1. Step 1: Write the proportion equation
   0.52 : 0.82 = 0.82 : x
2. Step 2: Convert to fraction form
   0.52/0.82 = 0.82/x
3. Step 3: Cross multiply
   0.52x = 0.82 × 0.82
4. Step 4: Simplify right side
   0.52x = 0.67
5. Step 5: Solve for x
   x = 0.67/0.52
6. Step 6: Final answer
   x = 1.31