Finding the Third Proportional to 461 and 1,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   461 : 1,013.50 = 1,013.50 : x
2. Step 2: Convert to fraction form
   461/1,013.50 = 1,013.50/x
3. Step 3: Cross multiply
   461x = 1,013.50 × 1,013.50
4. Step 4: Simplify right side
   461x = 1,027,182.25
5. Step 5: Solve for x
   x = 1,027,182.25/461
6. Step 6: Final answer
   x = 2,228.16