Finding the Third Proportional to 16,344 and 25,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,344 : 25,894.50 = 25,894.50 : x
2. Step 2: Convert to fraction form
   16,344/25,894.50 = 25,894.50/x
3. Step 3: Cross multiply
   16,344x = 25,894.50 × 25,894.50
4. Step 4: Simplify right side
   16,344x = 670,525,130.25
5. Step 5: Solve for x
   x = 670,525,130.25/16,344
6. Step 6: Final answer
   x = 41,025.77