Finding the Third Proportional to 11,673.75 and 25,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,673.75 : 25,198.50 = 25,198.50 : x
2. Step 2: Convert to fraction form
   11,673.75/25,198.50 = 25,198.50/x
3. Step 3: Cross multiply
   11,673.75x = 25,198.50 × 25,198.50
4. Step 4: Simplify right side
   11,673.75x = 634,964,402.25
5. Step 5: Solve for x
   x = 634,964,402.25/11,673.75
6. Step 6: Final answer
   x = 54,392.50