Finding the Third Proportional to 72.72 and 103.68

Step by Step Solution

1. Step 1: Write the proportion equation
   72.72 : 103.68 = 103.68 : x
2. Step 2: Convert to fraction form
   72.72/103.68 = 103.68/x
3. Step 3: Cross multiply
   72.72x = 103.68 × 103.68
4. Step 4: Simplify right side
   72.72x = 10,748.67
5. Step 5: Solve for x
   x = 10,748.67/72.72
6. Step 6: Final answer
   x = 147.81