Finding the Third Proportional to 11,523 and 12,747

Step by Step Solution

1. Step 1: Write the proportion equation
   11,523 : 12,747 = 12,747 : x
2. Step 2: Convert to fraction form
   11,523/12,747 = 12,747/x
3. Step 3: Cross multiply
   11,523x = 12,747 × 12,747
4. Step 4: Simplify right side
   11,523x = 162,486,009
5. Step 5: Solve for x
   x = 162,486,009/11,523
6. Step 6: Final answer
   x = 14,101.02