Finding the Third Proportional to 10,589.25 and 24,619.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.25 : 24,619.88 = 24,619.88 : x
2. Step 2: Convert to fraction form
   10,589.25/24,619.88 = 24,619.88/x
3. Step 3: Cross multiply
   10,589.25x = 24,619.88 × 24,619.88
4. Step 4: Simplify right side
   10,589.25x = 606,138,245.02
5. Step 5: Solve for x
   x = 606,138,245.02/10,589.25
6. Step 6: Final answer
   x = 57,240.90