Finding the Third Proportional to 1,026.56 and 2,206.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.56 : 2,206.69 = 2,206.69 : x
2. Step 2: Convert to fraction form
   1,026.56/2,206.69 = 2,206.69/x
3. Step 3: Cross multiply
   1,026.56x = 2,206.69 × 2,206.69
4. Step 4: Simplify right side
   1,026.56x = 4,869,469.72
5. Step 5: Solve for x
   x = 4,869,469.72/1,026.56
6. Step 6: Final answer
   x = 4,743.47