Finding the Third Proportional to 8,174.25 and 12,654.56

Step by Step Solution

1. Step 1: Write the proportion equation
   8,174.25 : 12,654.56 = 12,654.56 : x
2. Step 2: Convert to fraction form
   8,174.25/12,654.56 = 12,654.56/x
3. Step 3: Cross multiply
   8,174.25x = 12,654.56 × 12,654.56
4. Step 4: Simplify right side
   8,174.25x = 160,137,952.07
5. Step 5: Solve for x
   x = 160,137,952.07/8,174.25
6. Step 6: Final answer
   x = 19,590.54