Finding the Third Proportional to 0.47 and 0.83

Step by Step Solution

1. Step 1: Write the proportion equation
   0.47 : 0.83 = 0.83 : x
2. Step 2: Convert to fraction form
   0.47/0.83 = 0.83/x
3. Step 3: Cross multiply
   0.47x = 0.83 × 0.83
4. Step 4: Simplify right side
   0.47x = 0.69
5. Step 5: Solve for x
   x = 0.69/0.47
6. Step 6: Final answer
   x = 1.45