Finding the Third Proportional to 2,501.09 and 3,758.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.09 : 3,758.27 = 3,758.27 : x
2. Step 2: Convert to fraction form
   2,501.09/3,758.27 = 3,758.27/x
3. Step 3: Cross multiply
   2,501.09x = 3,758.27 × 3,758.27
4. Step 4: Simplify right side
   2,501.09x = 14,124,619.23
5. Step 5: Solve for x
   x = 14,124,619.23/2,501.09
6. Step 6: Final answer
   x = 5,647.39