Finding the Third Proportional to 659.50 and 1,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   659.50 : 1,419.50 = 1,419.50 : x
2. Step 2: Convert to fraction form
   659.50/1,419.50 = 1,419.50/x
3. Step 3: Cross multiply
   659.50x = 1,419.50 × 1,419.50
4. Step 4: Simplify right side
   659.50x = 2,014,980.25
5. Step 5: Solve for x
   x = 2,014,980.25/659.50
6. Step 6: Final answer
   x = 3,055.32