Finding the Third Proportional to 82.69 and 126.56

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 126.56 = 126.56 : x
2. Step 2: Convert to fraction form
   82.69/126.56 = 126.56/x
3. Step 3: Cross multiply
   82.69x = 126.56 × 126.56
4. Step 4: Simplify right side
   82.69x = 16,018.07
5. Step 5: Solve for x
   x = 16,018.07/82.69
6. Step 6: Final answer
   x = 193.72