Finding the Third Proportional to 1,728 and 3,606

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728 : 3,606 = 3,606 : x
2. Step 2: Convert to fraction form
   1,728/3,606 = 3,606/x
3. Step 3: Cross multiply
   1,728x = 3,606 × 3,606
4. Step 4: Simplify right side
   1,728x = 13,003,236
5. Step 5: Solve for x
   x = 13,003,236/1,728
6. Step 6: Final answer
   x = 7,525.02