Finding the Third Proportional to 82.50 and 127.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 127.75 = 127.75 : x
2. Step 2: Convert to fraction form
   82.50/127.75 = 127.75/x
3. Step 3: Cross multiply
   82.50x = 127.75 × 127.75
4. Step 4: Simplify right side
   82.50x = 16,320.06
5. Step 5: Solve for x
   x = 16,320.06/82.50
6. Step 6: Final answer
   x = 197.82