Finding the Third Proportional to 1,206.56 and 1,793.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.56 : 1,793.81 = 1,793.81 : x
2. Step 2: Convert to fraction form
   1,206.56/1,793.81 = 1,793.81/x
3. Step 3: Cross multiply
   1,206.56x = 1,793.81 × 1,793.81
4. Step 4: Simplify right side
   1,206.56x = 3,217,763.29
5. Step 5: Solve for x
   x = 3,217,763.29/1,206.56
6. Step 6: Final answer
   x = 2,666.88