Finding the Third Proportional to 4,155 and 5,597.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,155 : 5,597.25 = 5,597.25 : x
2. Step 2: Convert to fraction form
   4,155/5,597.25 = 5,597.25/x
3. Step 3: Cross multiply
   4,155x = 5,597.25 × 5,597.25
4. Step 4: Simplify right side
   4,155x = 31,329,207.56
5. Step 5: Solve for x
   x = 31,329,207.56/4,155
6. Step 6: Final answer
   x = 7,540.12