Finding the Third Proportional to 942.56 and 2,042.06

Step by Step Solution

1. Step 1: Write the proportion equation
   942.56 : 2,042.06 = 2,042.06 : x
2. Step 2: Convert to fraction form
   942.56/2,042.06 = 2,042.06/x
3. Step 3: Cross multiply
   942.56x = 2,042.06 × 2,042.06
4. Step 4: Simplify right side
   942.56x = 4,170,019.25
5. Step 5: Solve for x
   x = 4,170,019.25/942.56
6. Step 6: Final answer
   x = 4,424.13