Finding the Third Proportional to 12,804 and 20,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,804 : 20,041.50 = 20,041.50 : x
2. Step 2: Convert to fraction form
   12,804/20,041.50 = 20,041.50/x
3. Step 3: Cross multiply
   12,804x = 20,041.50 × 20,041.50
4. Step 4: Simplify right side
   12,804x = 401,661,722.25
5. Step 5: Solve for x
   x = 401,661,722.25/12,804
6. Step 6: Final answer
   x = 31,370.02