Finding the Third Proportional to 1,002.75 and 1,543.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.75 : 1,543.38 = 1,543.38 : x
2. Step 2: Convert to fraction form
   1,002.75/1,543.38 = 1,543.38/x
3. Step 3: Cross multiply
   1,002.75x = 1,543.38 × 1,543.38
4. Step 4: Simplify right side
   1,002.75x = 2,382,006.39
5. Step 5: Solve for x
   x = 2,382,006.39/1,002.75
6. Step 6: Final answer
   x = 2,375.47