Finding the Third Proportional to 10,683 and 16,584.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,683 : 16,584.61 = 16,584.61 : x
2. Step 2: Convert to fraction form
   10,683/16,584.61 = 16,584.61/x
3. Step 3: Cross multiply
   10,683x = 16,584.61 × 16,584.61
4. Step 4: Simplify right side
   10,683x = 275,049,268.12
5. Step 5: Solve for x
   x = 275,049,268.12/10,683
6. Step 6: Final answer
   x = 25,746.44