Finding the Third Proportional to 10,577.25 and 24,593.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,577.25 : 24,593.63 = 24,593.63 : x
2. Step 2: Convert to fraction form
   10,577.25/24,593.63 = 24,593.63/x
3. Step 3: Cross multiply
   10,577.25x = 24,593.63 × 24,593.63
4. Step 4: Simplify right side
   10,577.25x = 604,846,390.64
5. Step 5: Solve for x
   x = 604,846,390.64/10,577.25
6. Step 6: Final answer
   x = 57,183.71