Finding the Third Proportional to 10,598 and 16,419

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598 : 16,419 = 16,419 : x
2. Step 2: Convert to fraction form
   10,598/16,419 = 16,419/x
3. Step 3: Cross multiply
   10,598x = 16,419 × 16,419
4. Step 4: Simplify right side
   10,598x = 269,583,561
5. Step 5: Solve for x
   x = 269,583,561/10,598
6. Step 6: Final answer
   x = 25,437.21