Finding the Third Proportional to 1,636.69 and 2,449.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636.69 : 2,449.69 = 2,449.69 : x
2. Step 2: Convert to fraction form
   1,636.69/2,449.69 = 2,449.69/x
3. Step 3: Cross multiply
   1,636.69x = 2,449.69 × 2,449.69
4. Step 4: Simplify right side
   1,636.69x = 6,000,968.85
5. Step 5: Solve for x
   x = 6,000,968.85/1,636.69
6. Step 6: Final answer
   x = 3,666.53