Finding the Third Proportional to 16,172 and 21,846

Step by Step Solution

1. Step 1: Write the proportion equation
   16,172 : 21,846 = 21,846 : x
2. Step 2: Convert to fraction form
   16,172/21,846 = 21,846/x
3. Step 3: Cross multiply
   16,172x = 21,846 × 21,846
4. Step 4: Simplify right side
   16,172x = 477,247,716
5. Step 5: Solve for x
   x = 477,247,716/16,172
6. Step 6: Final answer
   x = 29,510.74