Finding the Third Proportional to 11,578.50 and 24,977.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578.50 : 24,977.25 = 24,977.25 : x
2. Step 2: Convert to fraction form
   11,578.50/24,977.25 = 24,977.25/x
3. Step 3: Cross multiply
   11,578.50x = 24,977.25 × 24,977.25
4. Step 4: Simplify right side
   11,578.50x = 623,863,017.56
5. Step 5: Solve for x
   x = 623,863,017.56/11,578.50
6. Step 6: Final answer
   x = 53,881.16