Finding the Third Proportional to 16,678 and 24,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,678 : 24,348.50 = 24,348.50 : x
2. Step 2: Convert to fraction form
   16,678/24,348.50 = 24,348.50/x
3. Step 3: Cross multiply
   16,678x = 24,348.50 × 24,348.50
4. Step 4: Simplify right side
   16,678x = 592,849,452.25
5. Step 5: Solve for x
   x = 592,849,452.25/16,678
6. Step 6: Final answer
   x = 35,546.80