Finding the Third Proportional to 19.38 and 44.56

Step by Step Solution

1. Step 1: Write the proportion equation
   19.38 : 44.56 = 44.56 : x
2. Step 2: Convert to fraction form
   19.38/44.56 = 44.56/x
3. Step 3: Cross multiply
   19.38x = 44.56 × 44.56
4. Step 4: Simplify right side
   19.38x = 1,985.82
5. Step 5: Solve for x
   x = 1,985.82/19.38
6. Step 6: Final answer
   x = 102.49