Finding the Third Proportional to 12,678.75 and 19,710

Step by Step Solution

1. Step 1: Write the proportion equation
   12,678.75 : 19,710 = 19,710 : x
2. Step 2: Convert to fraction form
   12,678.75/19,710 = 19,710/x
3. Step 3: Cross multiply
   12,678.75x = 19,710 × 19,710
4. Step 4: Simplify right side
   12,678.75x = 388,484,100
5. Step 5: Solve for x
   x = 388,484,100/12,678.75
6. Step 6: Final answer
   x = 30,640.57