Finding the Third Proportional to 2,456.63 and 3,756.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.63 : 3,756.38 = 3,756.38 : x
2. Step 2: Convert to fraction form
   2,456.63/3,756.38 = 3,756.38/x
3. Step 3: Cross multiply
   2,456.63x = 3,756.38 × 3,756.38
4. Step 4: Simplify right side
   2,456.63x = 14,110,353.14
5. Step 5: Solve for x
   x = 14,110,353.14/2,456.63
6. Step 6: Final answer
   x = 5,743.80