Finding the Third Proportional to 1,500 and 2,042

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500 : 2,042 = 2,042 : x
2. Step 2: Convert to fraction form
   1,500/2,042 = 2,042/x
3. Step 3: Cross multiply
   1,500x = 2,042 × 2,042
4. Step 4: Simplify right side
   1,500x = 4,169,764
5. Step 5: Solve for x
   x = 4,169,764/1,500
6. Step 6: Final answer
   x = 2,779.84