Finding the Third Proportional to 1,640.25 and 3,588.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.25 : 3,588.05 = 3,588.05 : x
2. Step 2: Convert to fraction form
   1,640.25/3,588.05 = 3,588.05/x
3. Step 3: Cross multiply
   1,640.25x = 3,588.05 × 3,588.05
4. Step 4: Simplify right side
   1,640.25x = 12,874,080.38
5. Step 5: Solve for x
   x = 12,874,080.38/1,640.25
6. Step 6: Final answer
   x = 7,848.85