Finding the Third Proportional to 20,172 and 21,804

Step by Step Solution

1. Step 1: Write the proportion equation
   20,172 : 21,804 = 21,804 : x
2. Step 2: Convert to fraction form
   20,172/21,804 = 21,804/x
3. Step 3: Cross multiply
   20,172x = 21,804 × 21,804
4. Step 4: Simplify right side
   20,172x = 475,414,416
5. Step 5: Solve for x
   x = 475,414,416/20,172
6. Step 6: Final answer
   x = 23,568.04