Finding the Third Proportional to 69.68 and 103.61

Step by Step Solution

1. Step 1: Write the proportion equation
   69.68 : 103.61 = 103.61 : x
2. Step 2: Convert to fraction form
   69.68/103.61 = 103.61/x
3. Step 3: Cross multiply
   69.68x = 103.61 × 103.61
4. Step 4: Simplify right side
   69.68x = 10,734.09
5. Step 5: Solve for x
   x = 10,734.09/69.68
6. Step 6: Final answer
   x = 154.05