Finding the Third Proportional to 16,588 and 24,398

Step by Step Solution

1. Step 1: Write the proportion equation
   16,588 : 24,398 = 24,398 : x
2. Step 2: Convert to fraction form
   16,588/24,398 = 24,398/x
3. Step 3: Cross multiply
   16,588x = 24,398 × 24,398
4. Step 4: Simplify right side
   16,588x = 595,262,404
5. Step 5: Solve for x
   x = 595,262,404/16,588
6. Step 6: Final answer
   x = 35,885.12