Finding the Third Proportional to 82.75 and 131.69

Step by Step Solution

1. Step 1: Write the proportion equation
   82.75 : 131.69 = 131.69 : x
2. Step 2: Convert to fraction form
   82.75/131.69 = 131.69/x
3. Step 3: Cross multiply
   82.75x = 131.69 × 131.69
4. Step 4: Simplify right side
   82.75x = 17,341.60
5. Step 5: Solve for x
   x = 17,341.60/82.75
6. Step 6: Final answer
   x = 209.57