Finding the Third Proportional to 1,728.84 and 3,618.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.84 : 3,618.42 = 3,618.42 : x
2. Step 2: Convert to fraction form
   1,728.84/3,618.42 = 3,618.42/x
3. Step 3: Cross multiply
   1,728.84x = 3,618.42 × 3,618.42
4. Step 4: Simplify right side
   1,728.84x = 13,092,976.87
5. Step 5: Solve for x
   x = 13,092,976.87/1,728.84
6. Step 6: Final answer
   x = 7,573.26