Finding the Third Proportional to 13,789.50 and 20,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,789.50 : 20,581.50 = 20,581.50 : x
2. Step 2: Convert to fraction form
   13,789.50/20,581.50 = 20,581.50/x
3. Step 3: Cross multiply
   13,789.50x = 20,581.50 × 20,581.50
4. Step 4: Simplify right side
   13,789.50x = 423,598,142.25
5. Step 5: Solve for x
   x = 423,598,142.25/13,789.50
6. Step 6: Final answer
   x = 30,718.89