Finding the Third Proportional to 8,898 and 12,523

Step by Step Solution

1. Step 1: Write the proportion equation
   8,898 : 12,523 = 12,523 : x
2. Step 2: Convert to fraction form
   8,898/12,523 = 12,523/x
3. Step 3: Cross multiply
   8,898x = 12,523 × 12,523
4. Step 4: Simplify right side
   8,898x = 156,825,529
5. Step 5: Solve for x
   x = 156,825,529/8,898
6. Step 6: Final answer
   x = 17,624.81