Finding the Third Proportional to 659.50 and 1,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   659.50 : 1,335.50 = 1,335.50 : x
2. Step 2: Convert to fraction form
   659.50/1,335.50 = 1,335.50/x
3. Step 3: Cross multiply
   659.50x = 1,335.50 × 1,335.50
4. Step 4: Simplify right side
   659.50x = 1,783,560.25
5. Step 5: Solve for x
   x = 1,783,560.25/659.50
6. Step 6: Final answer
   x = 2,704.41