Finding the Third Proportional to 19,200.38 and 39,768.47

Step by Step Solution

1. Step 1: Write the proportion equation
   19,200.38 : 39,768.47 = 39,768.47 : x
2. Step 2: Convert to fraction form
   19,200.38/39,768.47 = 39,768.47/x
3. Step 3: Cross multiply
   19,200.38x = 39,768.47 × 39,768.47
4. Step 4: Simplify right side
   19,200.38x = 1,581,531,106.72
5. Step 5: Solve for x
   x = 1,581,531,106.72/19,200.38
6. Step 6: Final answer
   x = 82,369.80