Finding the Third Proportional to 2,638.83 and 5,646.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.83 : 5,646.38 = 5,646.38 : x
2. Step 2: Convert to fraction form
   2,638.83/5,646.38 = 5,646.38/x
3. Step 3: Cross multiply
   2,638.83x = 5,646.38 × 5,646.38
4. Step 4: Simplify right side
   2,638.83x = 31,881,550.64
5. Step 5: Solve for x
   x = 31,881,550.64/2,638.83
6. Step 6: Final answer
   x = 12,081.71