Finding the Third Proportional to 51.61 and 111.66

Step by Step Solution

1. Step 1: Write the proportion equation
   51.61 : 111.66 = 111.66 : x
2. Step 2: Convert to fraction form
   51.61/111.66 = 111.66/x
3. Step 3: Cross multiply
   51.61x = 111.66 × 111.66
4. Step 4: Simplify right side
   51.61x = 12,467.12
5. Step 5: Solve for x
   x = 12,467.12/51.61
6. Step 6: Final answer
   x = 241.57