Finding the Third Proportional to 664.50 and 1,051.69

Step by Step Solution

1. Step 1: Write the proportion equation
   664.50 : 1,051.69 = 1,051.69 : x
2. Step 2: Convert to fraction form
   664.50/1,051.69 = 1,051.69/x
3. Step 3: Cross multiply
   664.50x = 1,051.69 × 1,051.69
4. Step 4: Simplify right side
   664.50x = 1,106,046.60
5. Step 5: Solve for x
   x = 1,106,046.60/664.50
6. Step 6: Final answer
   x = 1,664.48