Finding the Third Proportional to 462.30 and 1,004.34

Step by Step Solution

1. Step 1: Write the proportion equation
   462.30 : 1,004.34 = 1,004.34 : x
2. Step 2: Convert to fraction form
   462.30/1,004.34 = 1,004.34/x
3. Step 3: Cross multiply
   462.30x = 1,004.34 × 1,004.34
4. Step 4: Simplify right side
   462.30x = 1,008,706.37
5. Step 5: Solve for x
   x = 1,008,706.37/462.30
6. Step 6: Final answer
   x = 2,181.91