Finding the Third Proportional to 19.31 and 49.69

Step by Step Solution

1. Step 1: Write the proportion equation
   19.31 : 49.69 = 49.69 : x
2. Step 2: Convert to fraction form
   19.31/49.69 = 49.69/x
3. Step 3: Cross multiply
   19.31x = 49.69 × 49.69
4. Step 4: Simplify right side
   19.31x = 2,468.85
5. Step 5: Solve for x
   x = 2,468.85/19.31
6. Step 6: Final answer
   x = 127.84