Finding the Third Proportional to 51.75 and 106.59

Step by Step Solution

1. Step 1: Write the proportion equation
   51.75 : 106.59 = 106.59 : x
2. Step 2: Convert to fraction form
   51.75/106.59 = 106.59/x
3. Step 3: Cross multiply
   51.75x = 106.59 × 106.59
4. Step 4: Simplify right side
   51.75x = 11,362.23
5. Step 5: Solve for x
   x = 11,362.23/51.75
6. Step 6: Final answer
   x = 219.56