Finding the Third Proportional to 1,204.88 and 2,786.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.88 : 2,786.91 = 2,786.91 : x
2. Step 2: Convert to fraction form
   1,204.88/2,786.91 = 2,786.91/x
3. Step 3: Cross multiply
   1,204.88x = 2,786.91 × 2,786.91
4. Step 4: Simplify right side
   1,204.88x = 7,766,846.45
5. Step 5: Solve for x
   x = 7,766,846.45/1,204.88
6. Step 6: Final answer
   x = 6,446.18