Finding the Third Proportional to 105 and 105

Step by Step Solution

1. Step 1: Write the proportion equation
   105 : 105 = 105 : x
2. Step 2: Convert to fraction form
   105/105 = 105/x
3. Step 3: Cross multiply
   105x = 105 × 105
4. Step 4: Simplify right side
   105x = 11,025
5. Step 5: Solve for x
   x = 11,025/105
6. Step 6: Final answer
   x = 105