Finding the Third Proportional to 2,573.50 and 3,698

Step by Step Solution

1. Step 1: Write the proportion equation
   2,573.50 : 3,698 = 3,698 : x
2. Step 2: Convert to fraction form
   2,573.50/3,698 = 3,698/x
3. Step 3: Cross multiply
   2,573.50x = 3,698 × 3,698
4. Step 4: Simplify right side
   2,573.50x = 13,675,204
5. Step 5: Solve for x
   x = 13,675,204/2,573.50
6. Step 6: Final answer
   x = 5,313.85