Finding the Third Proportional to 67.83 and 106.10

Step by Step Solution

1. Step 1: Write the proportion equation
   67.83 : 106.10 = 106.10 : x
2. Step 2: Convert to fraction form
   67.83/106.10 = 106.10/x
3. Step 3: Cross multiply
   67.83x = 106.10 × 106.10
4. Step 4: Simplify right side
   67.83x = 11,257.54
5. Step 5: Solve for x
   x = 11,257.54/67.83
6. Step 6: Final answer
   x = 165.97