Finding the Third Proportional to 461.32 and 1,012.34

Step by Step Solution

1. Step 1: Write the proportion equation
   461.32 : 1,012.34 = 1,012.34 : x
2. Step 2: Convert to fraction form
   461.32/1,012.34 = 1,012.34/x
3. Step 3: Cross multiply
   461.32x = 1,012.34 × 1,012.34
4. Step 4: Simplify right side
   461.32x = 1,024,835.91
5. Step 5: Solve for x
   x = 1,024,835.91/461.32
6. Step 6: Final answer
   x = 2,221.53