Finding the Third Proportional to 72.84 and 111.73

Step by Step Solution

1. Step 1: Write the proportion equation
   72.84 : 111.73 = 111.73 : x
2. Step 2: Convert to fraction form
   72.84/111.73 = 111.73/x
3. Step 3: Cross multiply
   72.84x = 111.73 × 111.73
4. Step 4: Simplify right side
   72.84x = 12,482.82
5. Step 5: Solve for x
   x = 12,482.82/72.84
6. Step 6: Final answer
   x = 171.36