Finding the Third Proportional to 11,385 and 17,724.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,385 : 17,724.38 = 17,724.38 : x
2. Step 2: Convert to fraction form
   11,385/17,724.38 = 17,724.38/x
3. Step 3: Cross multiply
   11,385x = 17,724.38 × 17,724.38
4. Step 4: Simplify right side
   11,385x = 314,153,469.14
5. Step 5: Solve for x
   x = 314,153,469.14/11,385
6. Step 6: Final answer
   x = 27,593.63