Finding the Third Proportional to 16,834 and 25,147

Step by Step Solution

1. Step 1: Write the proportion equation
   16,834 : 25,147 = 25,147 : x
2. Step 2: Convert to fraction form
   16,834/25,147 = 25,147/x
3. Step 3: Cross multiply
   16,834x = 25,147 × 25,147
4. Step 4: Simplify right side
   16,834x = 632,371,609
5. Step 5: Solve for x
   x = 632,371,609/16,834
6. Step 6: Final answer
   x = 37,565.14