Finding the Third Proportional to 11,834 and 25,670

Step by Step Solution

1. Step 1: Write the proportion equation
   11,834 : 25,670 = 25,670 : x
2. Step 2: Convert to fraction form
   11,834/25,670 = 25,670/x
3. Step 3: Cross multiply
   11,834x = 25,670 × 25,670
4. Step 4: Simplify right side
   11,834x = 658,948,900
5. Step 5: Solve for x
   x = 658,948,900/11,834
6. Step 6: Final answer
   x = 55,682.69