Finding the Third Proportional to 8,174.25 and 19,200.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,174.25 : 19,200.38 = 19,200.38 : x
2. Step 2: Convert to fraction form
   8,174.25/19,200.38 = 19,200.38/x
3. Step 3: Cross multiply
   8,174.25x = 19,200.38 × 19,200.38
4. Step 4: Simplify right side
   8,174.25x = 368,654,400.14
5. Step 5: Solve for x
   x = 368,654,400.14/8,174.25
6. Step 6: Final answer
   x = 45,099.48