Finding the Third Proportional to 82.69 and 127.94

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 127.94 = 127.94 : x
2. Step 2: Convert to fraction form
   82.69/127.94 = 127.94/x
3. Step 3: Cross multiply
   82.69x = 127.94 × 127.94
4. Step 4: Simplify right side
   82.69x = 16,368.00
5. Step 5: Solve for x
   x = 16,368.00/82.69
6. Step 6: Final answer
   x = 197.95