Finding the Third Proportional to 7,727.06 and 16,974.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,727.06 : 16,974.56 = 16,974.56 : x
2. Step 2: Convert to fraction form
   7,727.06/16,974.56 = 16,974.56/x
3. Step 3: Cross multiply
   7,727.06x = 16,974.56 × 16,974.56
4. Step 4: Simplify right side
   7,727.06x = 288,135,772.07
5. Step 5: Solve for x
   x = 288,135,772.07/7,727.06
6. Step 6: Final answer
   x = 37,289.17