Finding the Third Proportional to 1,593.75 and 3,491.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,593.75 : 3,491.06 = 3,491.06 : x
2. Step 2: Convert to fraction form
   1,593.75/3,491.06 = 3,491.06/x
3. Step 3: Cross multiply
   1,593.75x = 3,491.06 × 3,491.06
4. Step 4: Simplify right side
   1,593.75x = 12,187,517.38
5. Step 5: Solve for x
   x = 12,187,517.38/1,593.75
6. Step 6: Final answer
   x = 7,647.07