Finding the Third Proportional to 2,794.50 and 4,091.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,794.50 : 4,091.63 = 4,091.63 : x
2. Step 2: Convert to fraction form
   2,794.50/4,091.63 = 4,091.63/x
3. Step 3: Cross multiply
   2,794.50x = 4,091.63 × 4,091.63
4. Step 4: Simplify right side
   2,794.50x = 16,741,395.14
5. Step 5: Solve for x
   x = 16,741,395.14/2,794.50
6. Step 6: Final answer
   x = 5,990.84