Finding the Third Proportional to 9,723 and 16,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,723 : 16,042.50 = 16,042.50 : x
2. Step 2: Convert to fraction form
   9,723/16,042.50 = 16,042.50/x
3. Step 3: Cross multiply
   9,723x = 16,042.50 × 16,042.50
4. Step 4: Simplify right side
   9,723x = 257,361,806.25
5. Step 5: Solve for x
   x = 257,361,806.25/9,723
6. Step 6: Final answer
   x = 26,469.38