Finding the Third Proportional to 1,629.75 and 3,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.75 : 3,583.50 = 3,583.50 : x
2. Step 2: Convert to fraction form
   1,629.75/3,583.50 = 3,583.50/x
3. Step 3: Cross multiply
   1,629.75x = 3,583.50 × 3,583.50
4. Step 4: Simplify right side
   1,629.75x = 12,841,472.25
5. Step 5: Solve for x
   x = 12,841,472.25/1,629.75
6. Step 6: Final answer
   x = 7,879.41