Finding the Third Proportional to 2,596.50 and 5,595.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.50 : 5,595.75 = 5,595.75 : x
2. Step 2: Convert to fraction form
   2,596.50/5,595.75 = 5,595.75/x
3. Step 3: Cross multiply
   2,596.50x = 5,595.75 × 5,595.75
4. Step 4: Simplify right side
   2,596.50x = 31,312,418.06
5. Step 5: Solve for x
   x = 31,312,418.06/2,596.50
6. Step 6: Final answer
   x = 12,059.47