Finding the Third Proportional to 2,609.25 and 3,655.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.25 : 3,655.88 = 3,655.88 : x
2. Step 2: Convert to fraction form
   2,609.25/3,655.88 = 3,655.88/x
3. Step 3: Cross multiply
   2,609.25x = 3,655.88 × 3,655.88
4. Step 4: Simplify right side
   2,609.25x = 13,365,422.02
5. Step 5: Solve for x
   x = 13,365,422.02/2,609.25
6. Step 6: Final answer
   x = 5,122.32