Finding the Third Proportional to 4.56 and 5.15

Step by Step Solution

1. Step 1: Write the proportion equation
   4.56 : 5.15 = 5.15 : x
2. Step 2: Convert to fraction form
   4.56/5.15 = 5.15/x
3. Step 3: Cross multiply
   4.56x = 5.15 × 5.15
4. Step 4: Simplify right side
   4.56x = 26.52
5. Step 5: Solve for x
   x = 26.52/4.56
6. Step 6: Final answer
   x = 5.82