Finding the Third Proportional to 16,411.50 and 24,270.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,411.50 : 24,270.75 = 24,270.75 : x
2. Step 2: Convert to fraction form
   16,411.50/24,270.75 = 24,270.75/x
3. Step 3: Cross multiply
   16,411.50x = 24,270.75 × 24,270.75
4. Step 4: Simplify right side
   16,411.50x = 589,069,305.56
5. Step 5: Solve for x
   x = 589,069,305.56/16,411.50
6. Step 6: Final answer
   x = 35,893.69