Finding the Third Proportional to 7,786.13 and 16,680.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786.13 : 16,680.09 = 16,680.09 : x
2. Step 2: Convert to fraction form
   7,786.13/16,680.09 = 16,680.09/x
3. Step 3: Cross multiply
   7,786.13x = 16,680.09 × 16,680.09
4. Step 4: Simplify right side
   7,786.13x = 278,225,527.51
5. Step 5: Solve for x
   x = 278,225,527.51/7,786.13
6. Step 6: Final answer
   x = 35,733.50