Finding the Third Proportional to 2.50 and 5.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2.50 : 5.46 = 5.46 : x
2. Step 2: Convert to fraction form
   2.50/5.46 = 5.46/x
3. Step 3: Cross multiply
   2.50x = 5.46 × 5.46
4. Step 4: Simplify right side
   2.50x = 29.82
5. Step 5: Solve for x
   x = 29.82/2.50
6. Step 6: Final answer
   x = 11.93