Finding the Third Proportional to 10,185 and 21,684

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 21,684 = 21,684 : x
2. Step 2: Convert to fraction form
   10,185/21,684 = 21,684/x
3. Step 3: Cross multiply
   10,185x = 21,684 × 21,684
4. Step 4: Simplify right side
   10,185x = 470,195,856
5. Step 5: Solve for x
   x = 470,195,856/10,185
6. Step 6: Final answer
   x = 46,165.52