Finding the Third Proportional to 2,786.63 and 5,752.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.63 : 5,752.13 = 5,752.13 : x
2. Step 2: Convert to fraction form
   2,786.63/5,752.13 = 5,752.13/x
3. Step 3: Cross multiply
   2,786.63x = 5,752.13 × 5,752.13
4. Step 4: Simplify right side
   2,786.63x = 33,086,942.02
5. Step 5: Solve for x
   x = 33,086,942.02/2,786.63
6. Step 6: Final answer
   x = 11,873.48