Finding the Third Proportional to 13,546 and 20,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,546 : 20,339.50 = 20,339.50 : x
2. Step 2: Convert to fraction form
   13,546/20,339.50 = 20,339.50/x
3. Step 3: Cross multiply
   13,546x = 20,339.50 × 20,339.50
4. Step 4: Simplify right side
   13,546x = 413,695,260.25
5. Step 5: Solve for x
   x = 413,695,260.25/13,546
6. Step 6: Final answer
   x = 30,540.03