Finding the Third Proportional to 27.56 and 56.56

Step by Step Solution

1. Step 1: Write the proportion equation
   27.56 : 56.56 = 56.56 : x
2. Step 2: Convert to fraction form
   27.56/56.56 = 56.56/x
3. Step 3: Cross multiply
   27.56x = 56.56 × 56.56
4. Step 4: Simplify right side
   27.56x = 3,199.32
5. Step 5: Solve for x
   x = 3,199.32/27.56
6. Step 6: Final answer
   x = 116.07