Finding the Third Proportional to 1,640.25 and 3,557.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.25 : 3,557.25 = 3,557.25 : x
2. Step 2: Convert to fraction form
   1,640.25/3,557.25 = 3,557.25/x
3. Step 3: Cross multiply
   1,640.25x = 3,557.25 × 3,557.25
4. Step 4: Simplify right side
   1,640.25x = 12,654,027.56
5. Step 5: Solve for x
   x = 12,654,027.56/1,640.25
6. Step 6: Final answer
   x = 7,714.69