Finding the Third Proportional to 874.13 and 2,042.72

Step by Step Solution

1. Step 1: Write the proportion equation
   874.13 : 2,042.72 = 2,042.72 : x
2. Step 2: Convert to fraction form
   874.13/2,042.72 = 2,042.72/x
3. Step 3: Cross multiply
   874.13x = 2,042.72 × 2,042.72
4. Step 4: Simplify right side
   874.13x = 4,172,699.89
5. Step 5: Solve for x
   x = 4,172,699.89/874.13
6. Step 6: Final answer
   x = 4,773.57