Finding the Third Proportional to 462.63 and 1,012.25

Step by Step Solution

1. Step 1: Write the proportion equation
   462.63 : 1,012.25 = 1,012.25 : x
2. Step 2: Convert to fraction form
   462.63/1,012.25 = 1,012.25/x
3. Step 3: Cross multiply
   462.63x = 1,012.25 × 1,012.25
4. Step 4: Simplify right side
   462.63x = 1,024,650.06
5. Step 5: Solve for x
   x = 1,024,650.06/462.63
6. Step 6: Final answer
   x = 2,214.86