Finding the Third Proportional to 842.63 and 2,002.78

Step by Step Solution

1. Step 1: Write the proportion equation
   842.63 : 2,002.78 = 2,002.78 : x
2. Step 2: Convert to fraction form
   842.63/2,002.78 = 2,002.78/x
3. Step 3: Cross multiply
   842.63x = 2,002.78 × 2,002.78
4. Step 4: Simplify right side
   842.63x = 4,011,132.74
5. Step 5: Solve for x
   x = 4,011,132.74/842.63
6. Step 6: Final answer
   x = 4,760.28