Finding the Third Proportional to 8,208.19 and 12,697.31

Step by Step Solution

1. Step 1: Write the proportion equation
   8,208.19 : 12,697.31 = 12,697.31 : x
2. Step 2: Convert to fraction form
   8,208.19/12,697.31 = 12,697.31/x
3. Step 3: Cross multiply
   8,208.19x = 12,697.31 × 12,697.31
4. Step 4: Simplify right side
   8,208.19x = 161,221,744.72
5. Step 5: Solve for x
   x = 161,221,744.72/8,208.19
6. Step 6: Final answer
   x = 19,641.58