Finding the Third Proportional to 7,786.13 and 12,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786.13 : 12,028.50 = 12,028.50 : x
2. Step 2: Convert to fraction form
   7,786.13/12,028.50 = 12,028.50/x
3. Step 3: Cross multiply
   7,786.13x = 12,028.50 × 12,028.50
4. Step 4: Simplify right side
   7,786.13x = 144,684,812.25
5. Step 5: Solve for x
   x = 144,684,812.25/7,786.13
6. Step 6: Final answer
   x = 18,582.39