Finding the Third Proportional to 1,737 and 3,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,737 : 3,253.50 = 3,253.50 : x
2. Step 2: Convert to fraction form
   1,737/3,253.50 = 3,253.50/x
3. Step 3: Cross multiply
   1,737x = 3,253.50 × 3,253.50
4. Step 4: Simplify right side
   1,737x = 10,585,262.25
5. Step 5: Solve for x
   x = 10,585,262.25/1,737
6. Step 6: Final answer
   x = 6,093.99