Finding the Third Proportional to 2,505 and 5,357.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505 : 5,357.63 = 5,357.63 : x
2. Step 2: Convert to fraction form
   2,505/5,357.63 = 5,357.63/x
3. Step 3: Cross multiply
   2,505x = 5,357.63 × 5,357.63
4. Step 4: Simplify right side
   2,505x = 28,704,145.64
5. Step 5: Solve for x
   x = 28,704,145.64/2,505
6. Step 6: Final answer
   x = 11,458.74