Finding the Third Proportional to 11,828 and 18,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,828 : 18,185.50 = 18,185.50 : x
2. Step 2: Convert to fraction form
   11,828/18,185.50 = 18,185.50/x
3. Step 3: Cross multiply
   11,828x = 18,185.50 × 18,185.50
4. Step 4: Simplify right side
   11,828x = 330,712,410.25
5. Step 5: Solve for x
   x = 330,712,410.25/11,828
6. Step 6: Final answer
   x = 27,960.13