Finding the Third Proportional to 53.53 and 109.76

Step by Step Solution

1. Step 1: Write the proportion equation
   53.53 : 109.76 = 109.76 : x
2. Step 2: Convert to fraction form
   53.53/109.76 = 109.76/x
3. Step 3: Cross multiply
   53.53x = 109.76 × 109.76
4. Step 4: Simplify right side
   53.53x = 12,046.78
5. Step 5: Solve for x
   x = 12,046.78/53.53
6. Step 6: Final answer
   x = 225.04