Finding the Third Proportional to 2,166 and 5,047

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166 : 5,047 = 5,047 : x
2. Step 2: Convert to fraction form
   2,166/5,047 = 5,047/x
3. Step 3: Cross multiply
   2,166x = 5,047 × 5,047
4. Step 4: Simplify right side
   2,166x = 25,472,209
5. Step 5: Solve for x
   x = 25,472,209/2,166
6. Step 6: Final answer
   x = 11,760.02