Finding the Third Proportional to 19.50 and 49.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 49.38 = 49.38 : x
2. Step 2: Convert to fraction form
   19.50/49.38 = 49.38/x
3. Step 3: Cross multiply
   19.50x = 49.38 × 49.38
4. Step 4: Simplify right side
   19.50x = 2,437.89
5. Step 5: Solve for x
   x = 2,437.89/19.50
6. Step 6: Final answer
   x = 125.02