Finding the Third Proportional to 2.00 and 5.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2.00 : 5.39 = 5.39 : x
2. Step 2: Convert to fraction form
   2.00/5.39 = 5.39/x
3. Step 3: Cross multiply
   2.00x = 5.39 × 5.39
4. Step 4: Simplify right side
   2.00x = 29.10
5. Step 5: Solve for x
   x = 29.10/2.00
6. Step 6: Final answer
   x = 14.56