Finding the Third Proportional to 1,647.84 and 3,429.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,647.84 : 3,429.42 = 3,429.42 : x
2. Step 2: Convert to fraction form
   1,647.84/3,429.42 = 3,429.42/x
3. Step 3: Cross multiply
   1,647.84x = 3,429.42 × 3,429.42
4. Step 4: Simplify right side
   1,647.84x = 11,760,934.40
5. Step 5: Solve for x
   x = 11,760,934.40/1,647.84
6. Step 6: Final answer
   x = 7,137.17