Finding the Third Proportional to 15,906 and 21,834

Step by Step Solution

1. Step 1: Write the proportion equation
   15,906 : 21,834 = 21,834 : x
2. Step 2: Convert to fraction form
   15,906/21,834 = 21,834/x
3. Step 3: Cross multiply
   15,906x = 21,834 × 21,834
4. Step 4: Simplify right side
   15,906x = 476,723,556
5. Step 5: Solve for x
   x = 476,723,556/15,906
6. Step 6: Final answer
   x = 29,971.30