Finding the Third Proportional to 83.39 and 109.62

Step by Step Solution

1. Step 1: Write the proportion equation
   83.39 : 109.62 = 109.62 : x
2. Step 2: Convert to fraction form
   83.39/109.62 = 109.62/x
3. Step 3: Cross multiply
   83.39x = 109.62 × 109.62
4. Step 4: Simplify right side
   83.39x = 12,015.93
5. Step 5: Solve for x
   x = 12,015.93/83.39
6. Step 6: Final answer
   x = 144.09