Finding the Third Proportional to 106.50 and 113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106.50 : 113.50 = 113.50 : x
2. Step 2: Convert to fraction form
   106.50/113.50 = 113.50/x
3. Step 3: Cross multiply
   106.50x = 113.50 × 113.50
4. Step 4: Simplify right side
   106.50x = 12,882.25
5. Step 5: Solve for x
   x = 12,882.25/106.50
6. Step 6: Final answer
   x = 120.96