Finding the Third Proportional to 5,834 and 13,766

Step by Step Solution

1. Step 1: Write the proportion equation
   5,834 : 13,766 = 13,766 : x
2. Step 2: Convert to fraction form
   5,834/13,766 = 13,766/x
3. Step 3: Cross multiply
   5,834x = 13,766 × 13,766
4. Step 4: Simplify right side
   5,834x = 189,502,756
5. Step 5: Solve for x
   x = 189,502,756/5,834
6. Step 6: Final answer
   x = 32,482.47