Finding the Third Proportional to 5,897 and 12,834

Step by Step Solution

1. Step 1: Write the proportion equation
   5,897 : 12,834 = 12,834 : x
2. Step 2: Convert to fraction form
   5,897/12,834 = 12,834/x
3. Step 3: Cross multiply
   5,897x = 12,834 × 12,834
4. Step 4: Simplify right side
   5,897x = 164,711,556
5. Step 5: Solve for x
   x = 164,711,556/5,897
6. Step 6: Final answer
   x = 27,931.42