Finding the Third Proportional to 23,589 and 34,411

Step by Step Solution

1. Step 1: Write the proportion equation
   23,589 : 34,411 = 34,411 : x
2. Step 2: Convert to fraction form
   23,589/34,411 = 34,411/x
3. Step 3: Cross multiply
   23,589x = 34,411 × 34,411
4. Step 4: Simplify right side
   23,589x = 1,184,116,921
5. Step 5: Solve for x
   x = 1,184,116,921/23,589
6. Step 6: Final answer
   x = 50,197.84