Finding the Third Proportional to 72.94 and 111.09

Step by Step Solution

1. Step 1: Write the proportion equation
   72.94 : 111.09 = 111.09 : x
2. Step 2: Convert to fraction form
   72.94/111.09 = 111.09/x
3. Step 3: Cross multiply
   72.94x = 111.09 × 111.09
4. Step 4: Simplify right side
   72.94x = 12,341.82
5. Step 5: Solve for x
   x = 12,341.82/72.94
6. Step 6: Final answer
   x = 169.21