Finding the Third Proportional to 13,405.50 and 17,628.47

Step by Step Solution

1. Step 1: Write the proportion equation
   13,405.50 : 17,628.47 = 17,628.47 : x
2. Step 2: Convert to fraction form
   13,405.50/17,628.47 = 17,628.47/x
3. Step 3: Cross multiply
   13,405.50x = 17,628.47 × 17,628.47
4. Step 4: Simplify right side
   13,405.50x = 310,762,910.47
5. Step 5: Solve for x
   x = 310,762,910.47/13,405.50
6. Step 6: Final answer
   x = 23,181.75