Finding the Third Proportional to 16,256 and 24,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,256 : 24,317.50 = 24,317.50 : x
2. Step 2: Convert to fraction form
   16,256/24,317.50 = 24,317.50/x
3. Step 3: Cross multiply
   16,256x = 24,317.50 × 24,317.50
4. Step 4: Simplify right side
   16,256x = 591,340,806.25
5. Step 5: Solve for x
   x = 591,340,806.25/16,256
6. Step 6: Final answer
   x = 36,376.77