Finding the Third Proportional to 2,596 and 3,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596 : 3,808.50 = 3,808.50 : x
2. Step 2: Convert to fraction form
   2,596/3,808.50 = 3,808.50/x
3. Step 3: Cross multiply
   2,596x = 3,808.50 × 3,808.50
4. Step 4: Simplify right side
   2,596x = 14,504,672.25
5. Step 5: Solve for x
   x = 14,504,672.25/2,596
6. Step 6: Final answer
   x = 5,587.32