Finding the Third Proportional to 13,689 and 27,846

Step by Step Solution

1. Step 1: Write the proportion equation
   13,689 : 27,846 = 27,846 : x
2. Step 2: Convert to fraction form
   13,689/27,846 = 27,846/x
3. Step 3: Cross multiply
   13,689x = 27,846 × 27,846
4. Step 4: Simplify right side
   13,689x = 775,399,716
5. Step 5: Solve for x
   x = 775,399,716/13,689
6. Step 6: Final answer
   x = 56,644