Finding the Third Proportional to 42.56 and 104.06

Step by Step Solution

1. Step 1: Write the proportion equation
   42.56 : 104.06 = 104.06 : x
2. Step 2: Convert to fraction form
   42.56/104.06 = 104.06/x
3. Step 3: Cross multiply
   42.56x = 104.06 × 104.06
4. Step 4: Simplify right side
   42.56x = 10,829.00
5. Step 5: Solve for x
   x = 10,829.00/42.56
6. Step 6: Final answer
   x = 254.43