Finding the Third Proportional to 72.55 and 112.42

Step by Step Solution

1. Step 1: Write the proportion equation
   72.55 : 112.42 = 112.42 : x
2. Step 2: Convert to fraction form
   72.55/112.42 = 112.42/x
3. Step 3: Cross multiply
   72.55x = 112.42 × 112.42
4. Step 4: Simplify right side
   72.55x = 12,637.80
5. Step 5: Solve for x
   x = 12,637.80/72.55
6. Step 6: Final answer
   x = 174.19