Finding the Third Proportional to 2,609.50 and 3,658

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.50 : 3,658 = 3,658 : x
2. Step 2: Convert to fraction form
   2,609.50/3,658 = 3,658/x
3. Step 3: Cross multiply
   2,609.50x = 3,658 × 3,658
4. Step 4: Simplify right side
   2,609.50x = 13,380,964
5. Step 5: Solve for x
   x = 13,380,964/2,609.50
6. Step 6: Final answer
   x = 5,127.79