Finding the Third Proportional to 59.38 and 127.63

Step by Step Solution

1. Step 1: Write the proportion equation
   59.38 : 127.63 = 127.63 : x
2. Step 2: Convert to fraction form
   59.38/127.63 = 127.63/x
3. Step 3: Cross multiply
   59.38x = 127.63 × 127.63
4. Step 4: Simplify right side
   59.38x = 16,288.14
5. Step 5: Solve for x
   x = 16,288.14/59.38
6. Step 6: Final answer
   x = 274.33