Finding the Third Proportional to 1,042.69 and 2,266.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.69 : 2,266.88 = 2,266.88 : x
2. Step 2: Convert to fraction form
   1,042.69/2,266.88 = 2,266.88/x
3. Step 3: Cross multiply
   1,042.69x = 2,266.88 × 2,266.88
4. Step 4: Simplify right side
   1,042.69x = 5,138,722.27
5. Step 5: Solve for x
   x = 5,138,722.27/1,042.69
6. Step 6: Final answer
   x = 4,928.34