Finding the Third Proportional to 643.57 and 1,004.51

Step by Step Solution

1. Step 1: Write the proportion equation
   643.57 : 1,004.51 = 1,004.51 : x
2. Step 2: Convert to fraction form
   643.57/1,004.51 = 1,004.51/x
3. Step 3: Cross multiply
   643.57x = 1,004.51 × 1,004.51
4. Step 4: Simplify right side
   643.57x = 1,009,041.83
5. Step 5: Solve for x
   x = 1,009,041.83/643.57
6. Step 6: Final answer
   x = 1,567.88