Finding the Third Proportional to 82.75 and 106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.75 : 106.50 = 106.50 : x
2. Step 2: Convert to fraction form
   82.75/106.50 = 106.50/x
3. Step 3: Cross multiply
   82.75x = 106.50 × 106.50
4. Step 4: Simplify right side
   82.75x = 11,342.25
5. Step 5: Solve for x
   x = 11,342.25/82.75
6. Step 6: Final answer
   x = 137.07