Finding the Third Proportional to 2,740.87 and 5,961.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740.87 : 5,961.57 = 5,961.57 : x
2. Step 2: Convert to fraction form
   2,740.87/5,961.57 = 5,961.57/x
3. Step 3: Cross multiply
   2,740.87x = 5,961.57 × 5,961.57
4. Step 4: Simplify right side
   2,740.87x = 35,540,297.30
5. Step 5: Solve for x
   x = 35,540,297.30/2,740.87
6. Step 6: Final answer
   x = 12,966.80