Finding the Third Proportional to 10,876 and 16,066

Step by Step Solution

1. Step 1: Write the proportion equation
   10,876 : 16,066 = 16,066 : x
2. Step 2: Convert to fraction form
   10,876/16,066 = 16,066/x
3. Step 3: Cross multiply
   10,876x = 16,066 × 16,066
4. Step 4: Simplify right side
   10,876x = 258,116,356
5. Step 5: Solve for x
   x = 258,116,356/10,876
6. Step 6: Final answer
   x = 23,732.66