Finding the Third Proportional to 20,192 and 42,589

Step by Step Solution

1. Step 1: Write the proportion equation
   20,192 : 42,589 = 42,589 : x
2. Step 2: Convert to fraction form
   20,192/42,589 = 42,589/x
3. Step 3: Cross multiply
   20,192x = 42,589 × 42,589
4. Step 4: Simplify right side
   20,192x = 1,813,822,921
5. Step 5: Solve for x
   x = 1,813,822,921/20,192
6. Step 6: Final answer
   x = 89,828.79