Finding the Third Proportional to 461.53 and 1,003.22

Step by Step Solution

1. Step 1: Write the proportion equation
   461.53 : 1,003.22 = 1,003.22 : x
2. Step 2: Convert to fraction form
   461.53/1,003.22 = 1,003.22/x
3. Step 3: Cross multiply
   461.53x = 1,003.22 × 1,003.22
4. Step 4: Simplify right side
   461.53x = 1,006,447.86
5. Step 5: Solve for x
   x = 1,006,447.86/461.53
6. Step 6: Final answer
   x = 2,180.67