Finding the Third Proportional to 12,678 and 19,707.94

Step by Step Solution

1. Step 1: Write the proportion equation
   12,678 : 19,707.94 = 19,707.94 : x
2. Step 2: Convert to fraction form
   12,678/19,707.94 = 19,707.94/x
3. Step 3: Cross multiply
   12,678x = 19,707.94 × 19,707.94
4. Step 4: Simplify right side
   12,678x = 388,402,800.50
5. Step 5: Solve for x
   x = 388,402,800.50/12,678
6. Step 6: Final answer
   x = 30,635.97