Finding the Third Proportional to 1,042.24 and 2,269.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.24 : 2,269.58 = 2,269.58 : x
2. Step 2: Convert to fraction form
   1,042.24/2,269.58 = 2,269.58/x
3. Step 3: Cross multiply
   1,042.24x = 2,269.58 × 2,269.58
4. Step 4: Simplify right side
   1,042.24x = 5,151,002.60
5. Step 5: Solve for x
   x = 5,151,002.60/1,042.24
6. Step 6: Final answer
   x = 4,942.23