Finding the Third Proportional to 462.75 and 662.63

Step by Step Solution

1. Step 1: Write the proportion equation
   462.75 : 662.63 = 662.63 : x
2. Step 2: Convert to fraction form
   462.75/662.63 = 662.63/x
3. Step 3: Cross multiply
   462.75x = 662.63 × 662.63
4. Step 4: Simplify right side
   462.75x = 439,071.89
5. Step 5: Solve for x
   x = 439,071.89/462.75
6. Step 6: Final answer
   x = 948.83