Finding the Third Proportional to 10,810 and 23,589

Step by Step Solution

1. Step 1: Write the proportion equation
   10,810 : 23,589 = 23,589 : x
2. Step 2: Convert to fraction form
   10,810/23,589 = 23,589/x
3. Step 3: Cross multiply
   10,810x = 23,589 × 23,589
4. Step 4: Simplify right side
   10,810x = 556,440,921
5. Step 5: Solve for x
   x = 556,440,921/10,810
6. Step 6: Final answer
   x = 51,474.65