Finding the Third Proportional to 2,538.75 and 3,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.75 : 3,738.75 = 3,738.75 : x
2. Step 2: Convert to fraction form
   2,538.75/3,738.75 = 3,738.75/x
3. Step 3: Cross multiply
   2,538.75x = 3,738.75 × 3,738.75
4. Step 4: Simplify right side
   2,538.75x = 13,978,251.56
5. Step 5: Solve for x
   x = 13,978,251.56/2,538.75
6. Step 6: Final answer
   x = 5,505.96