Finding the Third Proportional to 10,398 and 18,488

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398 : 18,488 = 18,488 : x
2. Step 2: Convert to fraction form
   10,398/18,488 = 18,488/x
3. Step 3: Cross multiply
   10,398x = 18,488 × 18,488
4. Step 4: Simplify right side
   10,398x = 341,806,144
5. Step 5: Solve for x
   x = 341,806,144/10,398
6. Step 6: Final answer
   x = 32,872.30