Finding the Third Proportional to 1,634.25 and 3,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.25 : 3,541.50 = 3,541.50 : x
2. Step 2: Convert to fraction form
   1,634.25/3,541.50 = 3,541.50/x
3. Step 3: Cross multiply
   1,634.25x = 3,541.50 × 3,541.50
4. Step 4: Simplify right side
   1,634.25x = 12,542,222.25
5. Step 5: Solve for x
   x = 12,542,222.25/1,634.25
6. Step 6: Final answer
   x = 7,674.60