Finding the Third Proportional to 2,690.58 and 5,701.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,690.58 : 5,701.78 = 5,701.78 : x
2. Step 2: Convert to fraction form
   2,690.58/5,701.78 = 5,701.78/x
3. Step 3: Cross multiply
   2,690.58x = 5,701.78 × 5,701.78
4. Step 4: Simplify right side
   2,690.58x = 32,510,309.42
5. Step 5: Solve for x
   x = 32,510,309.42/2,690.58
6. Step 6: Final answer
   x = 12,083.02