Finding the Third Proportional to 1,002.56 and 1,543.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.56 : 1,543.03 = 1,543.03 : x
2. Step 2: Convert to fraction form
   1,002.56/1,543.03 = 1,543.03/x
3. Step 3: Cross multiply
   1,002.56x = 1,543.03 × 1,543.03
4. Step 4: Simplify right side
   1,002.56x = 2,380,945.44
5. Step 5: Solve for x
   x = 2,380,945.44/1,002.56
6. Step 6: Final answer
   x = 2,374.86