Finding the Third Proportional to 462.59 and 1,002.09

Step by Step Solution

1. Step 1: Write the proportion equation
   462.59 : 1,002.09 = 1,002.09 : x
2. Step 2: Convert to fraction form
   462.59/1,002.09 = 1,002.09/x
3. Step 3: Cross multiply
   462.59x = 1,002.09 × 1,002.09
4. Step 4: Simplify right side
   462.59x = 1,004,191.88
5. Step 5: Solve for x
   x = 1,004,191.88/462.59
6. Step 6: Final answer
   x = 2,170.82