Finding the Third Proportional to 2,609.88 and 3,669.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.88 : 3,669.21 = 3,669.21 : x
2. Step 2: Convert to fraction form
   2,609.88/3,669.21 = 3,669.21/x
3. Step 3: Cross multiply
   2,609.88x = 3,669.21 × 3,669.21
4. Step 4: Simplify right side
   2,609.88x = 13,463,065.91
5. Step 5: Solve for x
   x = 13,463,065.91/2,609.88
6. Step 6: Final answer
   x = 5,158.51