Finding the Third Proportional to 16,536 and 24,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 24,190.50 = 24,190.50 : x
2. Step 2: Convert to fraction form
   16,536/24,190.50 = 24,190.50/x
3. Step 3: Cross multiply
   16,536x = 24,190.50 × 24,190.50
4. Step 4: Simplify right side
   16,536x = 585,180,290.25
5. Step 5: Solve for x
   x = 585,180,290.25/16,536
6. Step 6: Final answer
   x = 35,388.26