Finding the Third Proportional to 2,646.42 and 5,733.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.42 : 5,733.28 = 5,733.28 : x
2. Step 2: Convert to fraction form
   2,646.42/5,733.28 = 5,733.28/x
3. Step 3: Cross multiply
   2,646.42x = 5,733.28 × 5,733.28
4. Step 4: Simplify right side
   2,646.42x = 32,870,513.89
5. Step 5: Solve for x
   x = 32,870,513.89/2,646.42
6. Step 6: Final answer
   x = 12,420.74