Finding the Third Proportional to 127.69 and 137.67

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 137.67 = 137.67 : x
2. Step 2: Convert to fraction form
   127.69/137.67 = 137.67/x
3. Step 3: Cross multiply
   127.69x = 137.67 × 137.67
4. Step 4: Simplify right side
   127.69x = 18,953.55
5. Step 5: Solve for x
   x = 18,953.55/127.69
6. Step 6: Final answer
   x = 148.44