Finding the Third Proportional to 2,698 and 3,626.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698 : 3,626.25 = 3,626.25 : x
2. Step 2: Convert to fraction form
   2,698/3,626.25 = 3,626.25/x
3. Step 3: Cross multiply
   2,698x = 3,626.25 × 3,626.25
4. Step 4: Simplify right side
   2,698x = 13,149,689.06
5. Step 5: Solve for x
   x = 13,149,689.06/2,698
6. Step 6: Final answer
   x = 4,873.87