Finding the Third Proportional to 19.50 and 37.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 37.38 = 37.38 : x
2. Step 2: Convert to fraction form
   19.50/37.38 = 37.38/x
3. Step 3: Cross multiply
   19.50x = 37.38 × 37.38
4. Step 4: Simplify right side
   19.50x = 1,396.89
5. Step 5: Solve for x
   x = 1,396.89/19.50
6. Step 6: Final answer
   x = 71.64