Finding the Third Proportional to 27.56 and 56.48

Step by Step Solution

1. Step 1: Write the proportion equation
   27.56 : 56.48 = 56.48 : x
2. Step 2: Convert to fraction form
   27.56/56.48 = 56.48/x
3. Step 3: Cross multiply
   27.56x = 56.48 × 56.48
4. Step 4: Simplify right side
   27.56x = 3,190.48
5. Step 5: Solve for x
   x = 3,190.48/27.56
6. Step 6: Final answer
   x = 115.75