Finding the Third Proportional to 2,106 and 5,085

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 5,085 = 5,085 : x
2. Step 2: Convert to fraction form
   2,106/5,085 = 5,085/x
3. Step 3: Cross multiply
   2,106x = 5,085 × 5,085
4. Step 4: Simplify right side
   2,106x = 25,857,225
5. Step 5: Solve for x
   x = 25,857,225/2,106
6. Step 6: Final answer
   x = 12,277.88