Finding the Third Proportional to 6,876 and 16,066

Step by Step Solution

1. Step 1: Write the proportion equation
   6,876 : 16,066 = 16,066 : x
2. Step 2: Convert to fraction form
   6,876/16,066 = 16,066/x
3. Step 3: Cross multiply
   6,876x = 16,066 × 16,066
4. Step 4: Simplify right side
   6,876x = 258,116,356
5. Step 5: Solve for x
   x = 258,116,356/6,876
6. Step 6: Final answer
   x = 37,538.74