Finding the Third Proportional to 2,189 and 5,094

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189 : 5,094 = 5,094 : x
2. Step 2: Convert to fraction form
   2,189/5,094 = 5,094/x
3. Step 3: Cross multiply
   2,189x = 5,094 × 5,094
4. Step 4: Simplify right side
   2,189x = 25,948,836
5. Step 5: Solve for x
   x = 25,948,836/2,189
6. Step 6: Final answer
   x = 11,854.20