Finding the Third Proportional to 13,734.56 and 20,865.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,734.56 : 20,865.09 = 20,865.09 : x
2. Step 2: Convert to fraction form
   13,734.56/20,865.09 = 20,865.09/x
3. Step 3: Cross multiply
   13,734.56x = 20,865.09 × 20,865.09
4. Step 4: Simplify right side
   13,734.56x = 435,352,137.20
5. Step 5: Solve for x
   x = 435,352,137.20/13,734.56
6. Step 6: Final answer
   x = 31,697.56