Finding the Third Proportional to 109.50 and 127.38

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 127.38 = 127.38 : x
2. Step 2: Convert to fraction form
   109.50/127.38 = 127.38/x
3. Step 3: Cross multiply
   109.50x = 127.38 × 127.38
4. Step 4: Simplify right side
   109.50x = 16,224.39
5. Step 5: Solve for x
   x = 16,224.39/109.50
6. Step 6: Final answer
   x = 148.17