Finding the Third Proportional to 10,077 and 18,885

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077 : 18,885 = 18,885 : x
2. Step 2: Convert to fraction form
   10,077/18,885 = 18,885/x
3. Step 3: Cross multiply
   10,077x = 18,885 × 18,885
4. Step 4: Simplify right side
   10,077x = 356,643,225
5. Step 5: Solve for x
   x = 356,643,225/10,077
6. Step 6: Final answer
   x = 35,391.81