Finding the Third Proportional to 20,183 and 42,569

Step by Step Solution

1. Step 1: Write the proportion equation
   20,183 : 42,569 = 42,569 : x
2. Step 2: Convert to fraction form
   20,183/42,569 = 42,569/x
3. Step 3: Cross multiply
   20,183x = 42,569 × 42,569
4. Step 4: Simplify right side
   20,183x = 1,812,119,761
5. Step 5: Solve for x
   x = 1,812,119,761/20,183
6. Step 6: Final answer
   x = 89,784.46