Finding the Third Proportional to 13,039.50 and 20,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,039.50 : 20,199.75 = 20,199.75 : x
2. Step 2: Convert to fraction form
   13,039.50/20,199.75 = 20,199.75/x
3. Step 3: Cross multiply
   13,039.50x = 20,199.75 × 20,199.75
4. Step 4: Simplify right side
   13,039.50x = 408,029,900.06
5. Step 5: Solve for x
   x = 408,029,900.06/13,039.50
6. Step 6: Final answer
   x = 31,291.84