Finding the Third Proportional to 82.69 and 109.27

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 109.27 = 109.27 : x
2. Step 2: Convert to fraction form
   82.69/109.27 = 109.27/x
3. Step 3: Cross multiply
   82.69x = 109.27 × 109.27
4. Step 4: Simplify right side
   82.69x = 11,938.98
5. Step 5: Solve for x
   x = 11,938.98/82.69
6. Step 6: Final answer
   x = 144.39