Finding the Third Proportional to 13,709.38 and 20,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,709.38 : 20,665.25 = 20,665.25 : x
2. Step 2: Convert to fraction form
   13,709.38/20,665.25 = 20,665.25/x
3. Step 3: Cross multiply
   13,709.38x = 20,665.25 × 20,665.25
4. Step 4: Simplify right side
   13,709.38x = 427,052,557.56
5. Step 5: Solve for x
   x = 427,052,557.56/13,709.38
6. Step 6: Final answer
   x = 31,150.40