Finding the Third Proportional to 19,768.50 and 30,786.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,768.50 : 30,786.75 = 30,786.75 : x
2. Step 2: Convert to fraction form
   19,768.50/30,786.75 = 30,786.75/x
3. Step 3: Cross multiply
   19,768.50x = 30,786.75 × 30,786.75
4. Step 4: Simplify right side
   19,768.50x = 947,823,975.56
5. Step 5: Solve for x
   x = 947,823,975.56/19,768.50
6. Step 6: Final answer
   x = 47,946.18