Finding the Third Proportional to 1,635 and 3,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,635 : 3,563.50 = 3,563.50 : x
2. Step 2: Convert to fraction form
   1,635/3,563.50 = 3,563.50/x
3. Step 3: Cross multiply
   1,635x = 3,563.50 × 3,563.50
4. Step 4: Simplify right side
   1,635x = 12,698,532.25
5. Step 5: Solve for x
   x = 12,698,532.25/1,635
6. Step 6: Final answer
   x = 7,766.69