Finding the Third Proportional to 667.97 and 1,465.59

Step by Step Solution

1. Step 1: Write the proportion equation
   667.97 : 1,465.59 = 1,465.59 : x
2. Step 2: Convert to fraction form
   667.97/1,465.59 = 1,465.59/x
3. Step 3: Cross multiply
   667.97x = 1,465.59 × 1,465.59
4. Step 4: Simplify right side
   667.97x = 2,147,965.04
5. Step 5: Solve for x
   x = 2,147,965.04/667.97
6. Step 6: Final answer
   x = 3,215.67