Finding the Third Proportional to 1,106.79 and 1,581.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.79 : 1,581.40 = 1,581.40 : x
2. Step 2: Convert to fraction form
   1,106.79/1,581.40 = 1,581.40/x
3. Step 3: Cross multiply
   1,106.79x = 1,581.40 × 1,581.40
4. Step 4: Simplify right side
   1,106.79x = 2,500,821.02
5. Step 5: Solve for x
   x = 2,500,821.02/1,106.79
6. Step 6: Final answer
   x = 2,259.53