Finding the Third Proportional to 700 and 1,066.75

Step by Step Solution

1. Step 1: Write the proportion equation
   700 : 1,066.75 = 1,066.75 : x
2. Step 2: Convert to fraction form
   700/1,066.75 = 1,066.75/x
3. Step 3: Cross multiply
   700x = 1,066.75 × 1,066.75
4. Step 4: Simplify right side
   700x = 1,137,955.56
5. Step 5: Solve for x
   x = 1,137,955.56/700
6. Step 6: Final answer
   x = 1,625.65