Finding the Third Proportional to 69.75 and 111.94

Step by Step Solution

1. Step 1: Write the proportion equation
   69.75 : 111.94 = 111.94 : x
2. Step 2: Convert to fraction form
   69.75/111.94 = 111.94/x
3. Step 3: Cross multiply
   69.75x = 111.94 × 111.94
4. Step 4: Simplify right side
   69.75x = 12,530.00
5. Step 5: Solve for x
   x = 12,530.00/69.75
6. Step 6: Final answer
   x = 179.64