Finding the Third Proportional to 1,213.50 and 1,794.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.50 : 1,794.56 = 1,794.56 : x
2. Step 2: Convert to fraction form
   1,213.50/1,794.56 = 1,794.56/x
3. Step 3: Cross multiply
   1,213.50x = 1,794.56 × 1,794.56
4. Step 4: Simplify right side
   1,213.50x = 3,220,454.57
5. Step 5: Solve for x
   x = 3,220,454.57/1,213.50
6. Step 6: Final answer
   x = 2,653.86