Finding the Third Proportional to 9,825 and 14,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825 : 14,029.50 = 14,029.50 : x
2. Step 2: Convert to fraction form
   9,825/14,029.50 = 14,029.50/x
3. Step 3: Cross multiply
   9,825x = 14,029.50 × 14,029.50
4. Step 4: Simplify right side
   9,825x = 196,826,870.25
5. Step 5: Solve for x
   x = 196,826,870.25/9,825
6. Step 6: Final answer
   x = 20,033.27