Finding the Third Proportional to 16,174 and 21,839

Step by Step Solution

1. Step 1: Write the proportion equation
   16,174 : 21,839 = 21,839 : x
2. Step 2: Convert to fraction form
   16,174/21,839 = 21,839/x
3. Step 3: Cross multiply
   16,174x = 21,839 × 21,839
4. Step 4: Simplify right side
   16,174x = 476,941,921
5. Step 5: Solve for x
   x = 476,941,921/16,174
6. Step 6: Final answer
   x = 29,488.19