Finding the Third Proportional to 16,189 and 24,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,189 : 24,619.50 = 24,619.50 : x
2. Step 2: Convert to fraction form
   16,189/24,619.50 = 24,619.50/x
3. Step 3: Cross multiply
   16,189x = 24,619.50 × 24,619.50
4. Step 4: Simplify right side
   16,189x = 606,119,780.25
5. Step 5: Solve for x
   x = 606,119,780.25/16,189
6. Step 6: Final answer
   x = 37,440.22