Finding the Third Proportional to 13,643.50 and 20,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,643.50 : 20,381.50 = 20,381.50 : x
2. Step 2: Convert to fraction form
   13,643.50/20,381.50 = 20,381.50/x
3. Step 3: Cross multiply
   13,643.50x = 20,381.50 × 20,381.50
4. Step 4: Simplify right side
   13,643.50x = 415,405,542.25
5. Step 5: Solve for x
   x = 415,405,542.25/13,643.50
6. Step 6: Final answer
   x = 30,447.14