Finding the Third Proportional to 694.69 and 1,662.47

Step by Step Solution

1. Step 1: Write the proportion equation
   694.69 : 1,662.47 = 1,662.47 : x
2. Step 2: Convert to fraction form
   694.69/1,662.47 = 1,662.47/x
3. Step 3: Cross multiply
   694.69x = 1,662.47 × 1,662.47
4. Step 4: Simplify right side
   694.69x = 2,763,802.34
5. Step 5: Solve for x
   x = 2,763,802.34/694.69
6. Step 6: Final answer
   x = 3,978.48