Finding the Third Proportional to 10,538 and 16,026

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538 : 16,026 = 16,026 : x
2. Step 2: Convert to fraction form
   10,538/16,026 = 16,026/x
3. Step 3: Cross multiply
   10,538x = 16,026 × 16,026
4. Step 4: Simplify right side
   10,538x = 256,832,676
5. Step 5: Solve for x
   x = 256,832,676/10,538
6. Step 6: Final answer
   x = 24,372.05