Finding the Third Proportional to 864.56 and 1,636.31

Step by Step Solution

1. Step 1: Write the proportion equation
   864.56 : 1,636.31 = 1,636.31 : x
2. Step 2: Convert to fraction form
   864.56/1,636.31 = 1,636.31/x
3. Step 3: Cross multiply
   864.56x = 1,636.31 × 1,636.31
4. Step 4: Simplify right side
   864.56x = 2,677,518.60
5. Step 5: Solve for x
   x = 2,677,518.60/864.56
6. Step 6: Final answer
   x = 3,096.96