Finding the Third Proportional to 55.34 and 109.55

Step by Step Solution

1. Step 1: Write the proportion equation
   55.34 : 109.55 = 109.55 : x
2. Step 2: Convert to fraction form
   55.34/109.55 = 109.55/x
3. Step 3: Cross multiply
   55.34x = 109.55 × 109.55
4. Step 4: Simplify right side
   55.34x = 12,000.52
5. Step 5: Solve for x
   x = 12,000.52/55.34
6. Step 6: Final answer
   x = 216.87