Finding the Third Proportional to 13,643.75 and 20,381.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,643.75 : 20,381.38 = 20,381.38 : x
2. Step 2: Convert to fraction form
   13,643.75/20,381.38 = 20,381.38/x
3. Step 3: Cross multiply
   13,643.75x = 20,381.38 × 20,381.38
4. Step 4: Simplify right side
   13,643.75x = 415,400,446.89
5. Step 5: Solve for x
   x = 415,400,446.89/13,643.75
6. Step 6: Final answer
   x = 30,446.21