Finding the Third Proportional to 2.53 and 5.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2.53 : 5.27 = 5.27 : x
2. Step 2: Convert to fraction form
   2.53/5.27 = 5.27/x
3. Step 3: Cross multiply
   2.53x = 5.27 × 5.27
4. Step 4: Simplify right side
   2.53x = 27.81
5. Step 5: Solve for x
   x = 27.81/2.53
6. Step 6: Final answer
   x = 10.99