Finding the Third Proportional to 105 and 116

Step by Step Solution

1. Step 1: Write the proportion equation
   105 : 116 = 116 : x
2. Step 2: Convert to fraction form
   105/116 = 116/x
3. Step 3: Cross multiply
   105x = 116 × 116
4. Step 4: Simplify right side
   105x = 13,456
5. Step 5: Solve for x
   x = 13,456/105
6. Step 6: Final answer
   x = 128.15