Finding the Third Proportional to 15,974.25 and 24,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,974.25 : 24,185.25 = 24,185.25 : x
2. Step 2: Convert to fraction form
   15,974.25/24,185.25 = 24,185.25/x
3. Step 3: Cross multiply
   15,974.25x = 24,185.25 × 24,185.25
4. Step 4: Simplify right side
   15,974.25x = 584,926,317.56
5. Step 5: Solve for x
   x = 584,926,317.56/15,974.25
6. Step 6: Final answer
   x = 36,616.83