Finding the Third Proportional to 700 and 1,042.25

Step by Step Solution

1. Step 1: Write the proportion equation
   700 : 1,042.25 = 1,042.25 : x
2. Step 2: Convert to fraction form
   700/1,042.25 = 1,042.25/x
3. Step 3: Cross multiply
   700x = 1,042.25 × 1,042.25
4. Step 4: Simplify right side
   700x = 1,086,285.06
5. Step 5: Solve for x
   x = 1,086,285.06/700
6. Step 6: Final answer
   x = 1,551.84