Finding the Third Proportional to 69.09 and 105.56

Step by Step Solution

1. Step 1: Write the proportion equation
   69.09 : 105.56 = 105.56 : x
2. Step 2: Convert to fraction form
   69.09/105.56 = 105.56/x
3. Step 3: Cross multiply
   69.09x = 105.56 × 105.56
4. Step 4: Simplify right side
   69.09x = 11,143.44
5. Step 5: Solve for x
   x = 11,143.44/69.09
6. Step 6: Final answer
   x = 161.28