Finding the Third Proportional to 67.55 and 106.13

Step by Step Solution

1. Step 1: Write the proportion equation
   67.55 : 106.13 = 106.13 : x
2. Step 2: Convert to fraction form
   67.55/106.13 = 106.13/x
3. Step 3: Cross multiply
   67.55x = 106.13 × 106.13
4. Step 4: Simplify right side
   67.55x = 11,262.52
5. Step 5: Solve for x
   x = 11,262.52/67.55
6. Step 6: Final answer
   x = 166.74