Finding the Third Proportional to 10,518 and 24,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518 : 24,578.25 = 24,578.25 : x
2. Step 2: Convert to fraction form
   10,518/24,578.25 = 24,578.25/x
3. Step 3: Cross multiply
   10,518x = 24,578.25 × 24,578.25
4. Step 4: Simplify right side
   10,518x = 604,090,373.06
5. Step 5: Solve for x
   x = 604,090,373.06/10,518
6. Step 6: Final answer
   x = 57,433.96