Finding the Third Proportional to 2.96 and 7.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2.96 : 7.69 = 7.69 : x
2. Step 2: Convert to fraction form
   2.96/7.69 = 7.69/x
3. Step 3: Cross multiply
   2.96x = 7.69 × 7.69
4. Step 4: Simplify right side
   2.96x = 59.20
5. Step 5: Solve for x
   x = 59.20/2.96
6. Step 6: Final answer
   x = 19.99