Finding the Third Proportional to 1,735.69 and 2,688.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,735.69 : 2,688.38 = 2,688.38 : x
2. Step 2: Convert to fraction form
   1,735.69/2,688.38 = 2,688.38/x
3. Step 3: Cross multiply
   1,735.69x = 2,688.38 × 2,688.38
4. Step 4: Simplify right side
   1,735.69x = 7,227,360.14
5. Step 5: Solve for x
   x = 7,227,360.14/1,735.69
6. Step 6: Final answer
   x = 4,163.98