Finding the Third Proportional to 11,865 and 17,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,865 : 17,185.50 = 17,185.50 : x
2. Step 2: Convert to fraction form
   11,865/17,185.50 = 17,185.50/x
3. Step 3: Cross multiply
   11,865x = 17,185.50 × 17,185.50
4. Step 4: Simplify right side
   11,865x = 295,341,410.25
5. Step 5: Solve for x
   x = 295,341,410.25/11,865
6. Step 6: Final answer
   x = 24,891.82