Finding the Third Proportional to 659.81 and 1,422.56

Step by Step Solution

1. Step 1: Write the proportion equation
   659.81 : 1,422.56 = 1,422.56 : x
2. Step 2: Convert to fraction form
   659.81/1,422.56 = 1,422.56/x
3. Step 3: Cross multiply
   659.81x = 1,422.56 × 1,422.56
4. Step 4: Simplify right side
   659.81x = 2,023,684.07
5. Step 5: Solve for x
   x = 2,023,684.07/659.81
6. Step 6: Final answer
   x = 3,067.06