Finding the Third Proportional to 72.69 and 102.88

Step by Step Solution

1. Step 1: Write the proportion equation
   72.69 : 102.88 = 102.88 : x
2. Step 2: Convert to fraction form
   72.69/102.88 = 102.88/x
3. Step 3: Cross multiply
   72.69x = 102.88 × 102.88
4. Step 4: Simplify right side
   72.69x = 10,583.27
5. Step 5: Solve for x
   x = 10,583.27/72.69
6. Step 6: Final answer
   x = 145.60