Finding the Third Proportional to 72.08 and 102.72

Step by Step Solution

1. Step 1: Write the proportion equation
   72.08 : 102.72 = 102.72 : x
2. Step 2: Convert to fraction form
   72.08/102.72 = 102.72/x
3. Step 3: Cross multiply
   72.08x = 102.72 × 102.72
4. Step 4: Simplify right side
   72.08x = 10,550.55
5. Step 5: Solve for x
   x = 10,550.55/72.08
6. Step 6: Final answer
   x = 146.37