Finding the Third Proportional to 620.50 and 1,007

Step by Step Solution

1. Step 1: Write the proportion equation
   620.50 : 1,007 = 1,007 : x
2. Step 2: Convert to fraction form
   620.50/1,007 = 1,007/x
3. Step 3: Cross multiply
   620.50x = 1,007 × 1,007
4. Step 4: Simplify right side
   620.50x = 1,014,049
5. Step 5: Solve for x
   x = 1,014,049/620.50
6. Step 6: Final answer
   x = 1,634.24