Finding the Third Proportional to 138.38 and 162.56

Step by Step Solution

1. Step 1: Write the proportion equation
   138.38 : 162.56 = 162.56 : x
2. Step 2: Convert to fraction form
   138.38/162.56 = 162.56/x
3. Step 3: Cross multiply
   138.38x = 162.56 × 162.56
4. Step 4: Simplify right side
   138.38x = 26,426.57
5. Step 5: Solve for x
   x = 26,426.57/138.38
6. Step 6: Final answer
   x = 190.98