Finding the Third Proportional to 17,746 and 27,589

Step by Step Solution

1. Step 1: Write the proportion equation
   17,746 : 27,589 = 27,589 : x
2. Step 2: Convert to fraction form
   17,746/27,589 = 27,589/x
3. Step 3: Cross multiply
   17,746x = 27,589 × 27,589
4. Step 4: Simplify right side
   17,746x = 761,152,921
5. Step 5: Solve for x
   x = 761,152,921/17,746
6. Step 6: Final answer
   x = 42,891.52