Finding the Third Proportional to 1,636.31 and 2,431.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636.31 : 2,431.69 = 2,431.69 : x
2. Step 2: Convert to fraction form
   1,636.31/2,431.69 = 2,431.69/x
3. Step 3: Cross multiply
   1,636.31x = 2,431.69 × 2,431.69
4. Step 4: Simplify right side
   1,636.31x = 5,913,104.10
5. Step 5: Solve for x
   x = 5,913,104.10/1,636.31
6. Step 6: Final answer
   x = 3,613.68