Finding the Third Proportional to 641.06 and 694.31

Step by Step Solution

1. Step 1: Write the proportion equation
   641.06 : 694.31 = 694.31 : x
2. Step 2: Convert to fraction form
   641.06/694.31 = 694.31/x
3. Step 3: Cross multiply
   641.06x = 694.31 × 694.31
4. Step 4: Simplify right side
   641.06x = 482,069.85
5. Step 5: Solve for x
   x = 482,069.85/641.06
6. Step 6: Final answer
   x = 751.99