Finding the Third Proportional to 1,640.25 and 3,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.25 : 3,577.50 = 3,577.50 : x
2. Step 2: Convert to fraction form
   1,640.25/3,577.50 = 3,577.50/x
3. Step 3: Cross multiply
   1,640.25x = 3,577.50 × 3,577.50
4. Step 4: Simplify right side
   1,640.25x = 12,798,506.25
5. Step 5: Solve for x
   x = 12,798,506.25/1,640.25
6. Step 6: Final answer
   x = 7,802.78