Finding the Third Proportional to 2.82 and 4.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2.82 : 4.69 = 4.69 : x
2. Step 2: Convert to fraction form
   2.82/4.69 = 4.69/x
3. Step 3: Cross multiply
   2.82x = 4.69 × 4.69
4. Step 4: Simplify right side
   2.82x = 22.01
5. Step 5: Solve for x
   x = 22.01/2.82
6. Step 6: Final answer
   x = 7.82