Finding the Third Proportional to 5,969.25 and 12,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,969.25 : 12,874.50 = 12,874.50 : x
2. Step 2: Convert to fraction form
   5,969.25/12,874.50 = 12,874.50/x
3. Step 3: Cross multiply
   5,969.25x = 12,874.50 × 12,874.50
4. Step 4: Simplify right side
   5,969.25x = 165,752,750.25
5. Step 5: Solve for x
   x = 165,752,750.25/5,969.25
6. Step 6: Final answer
   x = 27,767.77