Finding the Third Proportional to 1,042.56 and 2,277.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.56 : 2,277.49 = 2,277.49 : x
2. Step 2: Convert to fraction form
   1,042.56/2,277.49 = 2,277.49/x
3. Step 3: Cross multiply
   1,042.56x = 2,277.49 × 2,277.49
4. Step 4: Simplify right side
   1,042.56x = 5,186,970.66
5. Step 5: Solve for x
   x = 5,186,970.66/1,042.56
6. Step 6: Final answer
   x = 4,975.23