Finding the Third Proportional to 3,538 and 4,290

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538 : 4,290 = 4,290 : x
2. Step 2: Convert to fraction form
   3,538/4,290 = 4,290/x
3. Step 3: Cross multiply
   3,538x = 4,290 × 4,290
4. Step 4: Simplify right side
   3,538x = 18,404,100
5. Step 5: Solve for x
   x = 18,404,100/3,538
6. Step 6: Final answer
   x = 5,201.84