Finding the Third Proportional to 51.13 and 109.56

Step by Step Solution

1. Step 1: Write the proportion equation
   51.13 : 109.56 = 109.56 : x
2. Step 2: Convert to fraction form
   51.13/109.56 = 109.56/x
3. Step 3: Cross multiply
   51.13x = 109.56 × 109.56
4. Step 4: Simplify right side
   51.13x = 12,003.94
5. Step 5: Solve for x
   x = 12,003.94/51.13
6. Step 6: Final answer
   x = 234.80