Finding the Third Proportional to 7,405 and 10,589

Step by Step Solution

1. Step 1: Write the proportion equation
   7,405 : 10,589 = 10,589 : x
2. Step 2: Convert to fraction form
   7,405/10,589 = 10,589/x
3. Step 3: Cross multiply
   7,405x = 10,589 × 10,589
4. Step 4: Simplify right side
   7,405x = 112,126,921
5. Step 5: Solve for x
   x = 112,126,921/7,405
6. Step 6: Final answer
   x = 15,142.06