Finding the Third Proportional to 83.25 and 109.41

Step by Step Solution

1. Step 1: Write the proportion equation
   83.25 : 109.41 = 109.41 : x
2. Step 2: Convert to fraction form
   83.25/109.41 = 109.41/x
3. Step 3: Cross multiply
   83.25x = 109.41 × 109.41
4. Step 4: Simplify right side
   83.25x = 11,969.73
5. Step 5: Solve for x
   x = 11,969.73/83.25
6. Step 6: Final answer
   x = 143.78