Finding the Third Proportional to 11,574 and 24,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,574 : 24,304.50 = 24,304.50 : x
2. Step 2: Convert to fraction form
   11,574/24,304.50 = 24,304.50/x
3. Step 3: Cross multiply
   11,574x = 24,304.50 × 24,304.50
4. Step 4: Simplify right side
   11,574x = 590,708,720.25
5. Step 5: Solve for x
   x = 590,708,720.25/11,574
6. Step 6: Final answer
   x = 51,037.56