Finding the Third Proportional to 72.42 and 109.55

Step by Step Solution

1. Step 1: Write the proportion equation
   72.42 : 109.55 = 109.55 : x
2. Step 2: Convert to fraction form
   72.42/109.55 = 109.55/x
3. Step 3: Cross multiply
   72.42x = 109.55 × 109.55
4. Step 4: Simplify right side
   72.42x = 12,000.52
5. Step 5: Solve for x
   x = 12,000.52/72.42
6. Step 6: Final answer
   x = 165.70