Finding the Third Proportional to 19.13 and 37.78

Step by Step Solution

1. Step 1: Write the proportion equation
   19.13 : 37.78 = 37.78 : x
2. Step 2: Convert to fraction form
   19.13/37.78 = 37.78/x
3. Step 3: Cross multiply
   19.13x = 37.78 × 37.78
4. Step 4: Simplify right side
   19.13x = 1,427.42
5. Step 5: Solve for x
   x = 1,427.42/19.13
6. Step 6: Final answer
   x = 74.64