Finding the Third Proportional to 82.69 and 107.16

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 107.16 = 107.16 : x
2. Step 2: Convert to fraction form
   82.69/107.16 = 107.16/x
3. Step 3: Cross multiply
   82.69x = 107.16 × 107.16
4. Step 4: Simplify right side
   82.69x = 11,482.46
5. Step 5: Solve for x
   x = 11,482.46/82.69
6. Step 6: Final answer
   x = 138.87