Finding the Third Proportional to 1,638.56 and 3,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.56 : 3,550.50 = 3,550.50 : x
2. Step 2: Convert to fraction form
   1,638.56/3,550.50 = 3,550.50/x
3. Step 3: Cross multiply
   1,638.56x = 3,550.50 × 3,550.50
4. Step 4: Simplify right side
   1,638.56x = 12,606,050.25
5. Step 5: Solve for x
   x = 12,606,050.25/1,638.56
6. Step 6: Final answer
   x = 7,693.36