Finding the Third Proportional to 669.50 and 1,066

Step by Step Solution

1. Step 1: Write the proportion equation
   669.50 : 1,066 = 1,066 : x
2. Step 2: Convert to fraction form
   669.50/1,066 = 1,066/x
3. Step 3: Cross multiply
   669.50x = 1,066 × 1,066
4. Step 4: Simplify right side
   669.50x = 1,136,356
5. Step 5: Solve for x
   x = 1,136,356/669.50
6. Step 6: Final answer
   x = 1,697.32