Finding the Third Proportional to 12,198 and 26,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,198 : 26,578.50 = 26,578.50 : x
2. Step 2: Convert to fraction form
   12,198/26,578.50 = 26,578.50/x
3. Step 3: Cross multiply
   12,198x = 26,578.50 × 26,578.50
4. Step 4: Simplify right side
   12,198x = 706,416,662.25
5. Step 5: Solve for x
   x = 706,416,662.25/12,198
6. Step 6: Final answer
   x = 57,912.50