Finding the Third Proportional to 2,314 and 5,089

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314 : 5,089 = 5,089 : x
2. Step 2: Convert to fraction form
   2,314/5,089 = 5,089/x
3. Step 3: Cross multiply
   2,314x = 5,089 × 5,089
4. Step 4: Simplify right side
   2,314x = 25,897,921
5. Step 5: Solve for x
   x = 25,897,921/2,314
6. Step 6: Final answer
   x = 11,191.84