Finding the Third Proportional to 16,409.75 and 24,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,409.75 : 24,609.50 = 24,609.50 : x
2. Step 2: Convert to fraction form
   16,409.75/24,609.50 = 24,609.50/x
3. Step 3: Cross multiply
   16,409.75x = 24,609.50 × 24,609.50
4. Step 4: Simplify right side
   16,409.75x = 605,627,490.25
5. Step 5: Solve for x
   x = 605,627,490.25/16,409.75
6. Step 6: Final answer
   x = 36,906.56