Finding the Third Proportional to 20,189 and 42,583

Step by Step Solution

1. Step 1: Write the proportion equation
   20,189 : 42,583 = 42,583 : x
2. Step 2: Convert to fraction form
   20,189/42,583 = 42,583/x
3. Step 3: Cross multiply
   20,189x = 42,583 × 42,583
4. Step 4: Simplify right side
   20,189x = 1,813,311,889
5. Step 5: Solve for x
   x = 1,813,311,889/20,189
6. Step 6: Final answer
   x = 89,816.83