Finding the Third Proportional to 13,577.63 and 18,270.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,577.63 : 18,270.56 = 18,270.56 : x
2. Step 2: Convert to fraction form
   13,577.63/18,270.56 = 18,270.56/x
3. Step 3: Cross multiply
   13,577.63x = 18,270.56 × 18,270.56
4. Step 4: Simplify right side
   13,577.63x = 333,813,454.07
5. Step 5: Solve for x
   x = 333,813,454.07/13,577.63
6. Step 6: Final answer
   x = 24,585.56