Finding the Third Proportional to 8,180.25 and 12,974.02

Step by Step Solution

1. Step 1: Write the proportion equation
   8,180.25 : 12,974.02 = 12,974.02 : x
2. Step 2: Convert to fraction form
   8,180.25/12,974.02 = 12,974.02/x
3. Step 3: Cross multiply
   8,180.25x = 12,974.02 × 12,974.02
4. Step 4: Simplify right side
   8,180.25x = 168,325,081.44
5. Step 5: Solve for x
   x = 168,325,081.44/8,180.25
6. Step 6: Final answer
   x = 20,577.01