Finding the Third Proportional to 82.69 and 100.97

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 100.97 = 100.97 : x
2. Step 2: Convert to fraction form
   82.69/100.97 = 100.97/x
3. Step 3: Cross multiply
   82.69x = 100.97 × 100.97
4. Step 4: Simplify right side
   82.69x = 10,194.69
5. Step 5: Solve for x
   x = 10,194.69/82.69
6. Step 6: Final answer
   x = 123.29