Finding the Third Proportional to 2,086.59 and 2,704.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.59 : 2,704.64 = 2,704.64 : x
2. Step 2: Convert to fraction form
   2,086.59/2,704.64 = 2,704.64/x
3. Step 3: Cross multiply
   2,086.59x = 2,704.64 × 2,704.64
4. Step 4: Simplify right side
   2,086.59x = 7,315,080.91
5. Step 5: Solve for x
   x = 7,315,080.91/2,086.59
6. Step 6: Final answer
   x = 3,505.75