Finding the Third Proportional to 2,593 and 3,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593 : 3,493.50 = 3,493.50 : x
2. Step 2: Convert to fraction form
   2,593/3,493.50 = 3,493.50/x
3. Step 3: Cross multiply
   2,593x = 3,493.50 × 3,493.50
4. Step 4: Simplify right side
   2,593x = 12,204,542.25
5. Step 5: Solve for x
   x = 12,204,542.25/2,593
6. Step 6: Final answer
   x = 4,706.73