Finding the Third Proportional to 72.94 and 107.38

Step by Step Solution

1. Step 1: Write the proportion equation
   72.94 : 107.38 = 107.38 : x
2. Step 2: Convert to fraction form
   72.94/107.38 = 107.38/x
3. Step 3: Cross multiply
   72.94x = 107.38 × 107.38
4. Step 4: Simplify right side
   72.94x = 11,529.39
5. Step 5: Solve for x
   x = 11,529.39/72.94
6. Step 6: Final answer
   x = 158.07