Finding the Third Proportional to 463.63 and 1,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   463.63 : 1,016.50 = 1,016.50 : x
2. Step 2: Convert to fraction form
   463.63/1,016.50 = 1,016.50/x
3. Step 3: Cross multiply
   463.63x = 1,016.50 × 1,016.50
4. Step 4: Simplify right side
   463.63x = 1,033,272.25
5. Step 5: Solve for x
   x = 1,033,272.25/463.63
6. Step 6: Final answer
   x = 2,228.68