Finding the Third Proportional to 10,898 and 23,523

Step by Step Solution

1. Step 1: Write the proportion equation
   10,898 : 23,523 = 23,523 : x
2. Step 2: Convert to fraction form
   10,898/23,523 = 23,523/x
3. Step 3: Cross multiply
   10,898x = 23,523 × 23,523
4. Step 4: Simplify right side
   10,898x = 553,331,529
5. Step 5: Solve for x
   x = 553,331,529/10,898
6. Step 6: Final answer
   x = 50,773.68