Finding the Third Proportional to 1,000.27 and 1,597.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,000.27 : 1,597.92 = 1,597.92 : x
2. Step 2: Convert to fraction form
   1,000.27/1,597.92 = 1,597.92/x
3. Step 3: Cross multiply
   1,000.27x = 1,597.92 × 1,597.92
4. Step 4: Simplify right side
   1,000.27x = 2,553,354.32
5. Step 5: Solve for x
   x = 2,553,354.32/1,000.27
6. Step 6: Final answer
   x = 2,552.68