Finding the Third Proportional to 12,684.38 and 19,716.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684.38 : 19,716.75 = 19,716.75 : x
2. Step 2: Convert to fraction form
   12,684.38/19,716.75 = 19,716.75/x
3. Step 3: Cross multiply
   12,684.38x = 19,716.75 × 19,716.75
4. Step 4: Simplify right side
   12,684.38x = 388,750,230.56
5. Step 5: Solve for x
   x = 388,750,230.56/12,684.38
6. Step 6: Final answer
   x = 30,647.96