Finding the Third Proportional to 1,056.09 and 1,543.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.09 : 1,543.78 = 1,543.78 : x
2. Step 2: Convert to fraction form
   1,056.09/1,543.78 = 1,543.78/x
3. Step 3: Cross multiply
   1,056.09x = 1,543.78 × 1,543.78
4. Step 4: Simplify right side
   1,056.09x = 2,383,260.55
5. Step 5: Solve for x
   x = 2,383,260.55/1,056.09
6. Step 6: Final answer
   x = 2,256.68