Finding the Third Proportional to 1,005.75 and 1,771.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.75 : 1,771.03 = 1,771.03 : x
2. Step 2: Convert to fraction form
   1,005.75/1,771.03 = 1,771.03/x
3. Step 3: Cross multiply
   1,005.75x = 1,771.03 × 1,771.03
4. Step 4: Simplify right side
   1,005.75x = 3,136,551.69
5. Step 5: Solve for x
   x = 3,136,551.69/1,005.75
6. Step 6: Final answer
   x = 3,118.62