Finding the Third Proportional to 13,577.63 and 19,227.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,577.63 : 19,227.38 = 19,227.38 : x
2. Step 2: Convert to fraction form
   13,577.63/19,227.38 = 19,227.38/x
3. Step 3: Cross multiply
   13,577.63x = 19,227.38 × 19,227.38
4. Step 4: Simplify right side
   13,577.63x = 369,691,949.39
5. Step 5: Solve for x
   x = 369,691,949.39/13,577.63
6. Step 6: Final answer
   x = 27,228.03