Finding the Third Proportional to 1,593.50 and 3,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,593.50 : 3,500.50 = 3,500.50 : x
2. Step 2: Convert to fraction form
   1,593.50/3,500.50 = 3,500.50/x
3. Step 3: Cross multiply
   1,593.50x = 3,500.50 × 3,500.50
4. Step 4: Simplify right side
   1,593.50x = 12,253,500.25
5. Step 5: Solve for x
   x = 12,253,500.25/1,593.50
6. Step 6: Final answer
   x = 7,689.68