Finding the Third Proportional to 10,550 and 17,589

Step by Step Solution

1. Step 1: Write the proportion equation
   10,550 : 17,589 = 17,589 : x
2. Step 2: Convert to fraction form
   10,550/17,589 = 17,589/x
3. Step 3: Cross multiply
   10,550x = 17,589 × 17,589
4. Step 4: Simplify right side
   10,550x = 309,372,921
5. Step 5: Solve for x
   x = 309,372,921/10,550
6. Step 6: Final answer
   x = 29,324.45