Finding the Third Proportional to 106.31 and 136.69

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 136.69 = 136.69 : x
2. Step 2: Convert to fraction form
   106.31/136.69 = 136.69/x
3. Step 3: Cross multiply
   106.31x = 136.69 × 136.69
4. Step 4: Simplify right side
   106.31x = 18,683.47
5. Step 5: Solve for x
   x = 18,683.47/106.31
6. Step 6: Final answer
   x = 175.74