Finding the Third Proportional to 4,786.50 and 7,184.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,786.50 : 7,184.25 = 7,184.25 : x
2. Step 2: Convert to fraction form
   4,786.50/7,184.25 = 7,184.25/x
3. Step 3: Cross multiply
   4,786.50x = 7,184.25 × 7,184.25
4. Step 4: Simplify right side
   4,786.50x = 51,613,448.06
5. Step 5: Solve for x
   x = 51,613,448.06/4,786.50
6. Step 6: Final answer
   x = 10,783.13