Finding the Third Proportional to 1,004.34 and 1,597.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.34 : 1,597.78 = 1,597.78 : x
2. Step 2: Convert to fraction form
   1,004.34/1,597.78 = 1,597.78/x
3. Step 3: Cross multiply
   1,004.34x = 1,597.78 × 1,597.78
4. Step 4: Simplify right side
   1,004.34x = 2,552,904.92
5. Step 5: Solve for x
   x = 2,552,904.92/1,004.34
6. Step 6: Final answer
   x = 2,541.86