Finding the Third Proportional to 106.38 and 109.94

Step by Step Solution

1. Step 1: Write the proportion equation
   106.38 : 109.94 = 109.94 : x
2. Step 2: Convert to fraction form
   106.38/109.94 = 109.94/x
3. Step 3: Cross multiply
   106.38x = 109.94 × 109.94
4. Step 4: Simplify right side
   106.38x = 12,086.25
5. Step 5: Solve for x
   x = 12,086.25/106.38
6. Step 6: Final answer
   x = 113.62