Finding the Third Proportional to 1,042.78 and 1,666.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.78 : 1,666.78 = 1,666.78 : x
2. Step 2: Convert to fraction form
   1,042.78/1,666.78 = 1,666.78/x
3. Step 3: Cross multiply
   1,042.78x = 1,666.78 × 1,666.78
4. Step 4: Simplify right side
   1,042.78x = 2,778,159.74
5. Step 5: Solve for x
   x = 2,778,159.74/1,042.78
6. Step 6: Final answer
   x = 2,664.18