Finding the Third Proportional to 30.56 and 72.09

Step by Step Solution

1. Step 1: Write the proportion equation
   30.56 : 72.09 = 72.09 : x
2. Step 2: Convert to fraction form
   30.56/72.09 = 72.09/x
3. Step 3: Cross multiply
   30.56x = 72.09 × 72.09
4. Step 4: Simplify right side
   30.56x = 5,197.51
5. Step 5: Solve for x
   x = 5,197.51/30.56
6. Step 6: Final answer
   x = 170.06