Finding the Third Proportional to 11,965.50 and 24,527.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,965.50 : 24,527.25 = 24,527.25 : x
2. Step 2: Convert to fraction form
   11,965.50/24,527.25 = 24,527.25/x
3. Step 3: Cross multiply
   11,965.50x = 24,527.25 × 24,527.25
4. Step 4: Simplify right side
   11,965.50x = 601,585,992.56
5. Step 5: Solve for x
   x = 601,585,992.56/11,965.50
6. Step 6: Final answer
   x = 50,276.71