Finding the Third Proportional to 1,066 and 2,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066 : 2,205.50 = 2,205.50 : x
2. Step 2: Convert to fraction form
   1,066/2,205.50 = 2,205.50/x
3. Step 3: Cross multiply
   1,066x = 2,205.50 × 2,205.50
4. Step 4: Simplify right side
   1,066x = 4,864,230.25
5. Step 5: Solve for x
   x = 4,864,230.25/1,066
6. Step 6: Final answer
   x = 4,563.07