Finding the Third Proportional to 64.75 and 105.69

Step by Step Solution

1. Step 1: Write the proportion equation
   64.75 : 105.69 = 105.69 : x
2. Step 2: Convert to fraction form
   64.75/105.69 = 105.69/x
3. Step 3: Cross multiply
   64.75x = 105.69 × 105.69
4. Step 4: Simplify right side
   64.75x = 11,169.85
5. Step 5: Solve for x
   x = 11,169.85/64.75
6. Step 6: Final answer
   x = 172.51