Finding the Third Proportional to 43.50 and 68.06

Step by Step Solution

1. Step 1: Write the proportion equation
   43.50 : 68.06 = 68.06 : x
2. Step 2: Convert to fraction form
   43.50/68.06 = 68.06/x
3. Step 3: Cross multiply
   43.50x = 68.06 × 68.06
4. Step 4: Simplify right side
   43.50x = 4,632.50
5. Step 5: Solve for x
   x = 4,632.50/43.50
6. Step 6: Final answer
   x = 106.49