Finding the Third Proportional to 82.25 and 131.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82.25 : 131.38 = 131.38 : x
2. Step 2: Convert to fraction form
   82.25/131.38 = 131.38/x
3. Step 3: Cross multiply
   82.25x = 131.38 × 131.38
4. Step 4: Simplify right side
   82.25x = 17,259.39
5. Step 5: Solve for x
   x = 17,259.39/82.25
6. Step 6: Final answer
   x = 209.84