Finding the Third Proportional to 2,646 and 5,747.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646 : 5,747.06 = 5,747.06 : x
2. Step 2: Convert to fraction form
   2,646/5,747.06 = 5,747.06/x
3. Step 3: Cross multiply
   2,646x = 5,747.06 × 5,747.06
4. Step 4: Simplify right side
   2,646x = 33,028,727.38
5. Step 5: Solve for x
   x = 33,028,727.38/2,646
6. Step 6: Final answer
   x = 12,482.51