Finding the Third Proportional to 10,083 and 21,696

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083 : 21,696 = 21,696 : x
2. Step 2: Convert to fraction form
   10,083/21,696 = 21,696/x
3. Step 3: Cross multiply
   10,083x = 21,696 × 21,696
4. Step 4: Simplify right side
   10,083x = 470,716,416
5. Step 5: Solve for x
   x = 470,716,416/10,083
6. Step 6: Final answer
   x = 46,684.16