Finding the Third Proportional to 43.66 and 69.82

Step by Step Solution

1. Step 1: Write the proportion equation
   43.66 : 69.82 = 69.82 : x
2. Step 2: Convert to fraction form
   43.66/69.82 = 69.82/x
3. Step 3: Cross multiply
   43.66x = 69.82 × 69.82
4. Step 4: Simplify right side
   43.66x = 4,874.88
5. Step 5: Solve for x
   x = 4,874.88/43.66
6. Step 6: Final answer
   x = 111.65