Finding the Third Proportional to 1,419.75 and 2,203.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.75 : 2,203.88 = 2,203.88 : x
2. Step 2: Convert to fraction form
   1,419.75/2,203.88 = 2,203.88/x
3. Step 3: Cross multiply
   1,419.75x = 2,203.88 × 2,203.88
4. Step 4: Simplify right side
   1,419.75x = 4,857,065.02
5. Step 5: Solve for x
   x = 4,857,065.02/1,419.75
6. Step 6: Final answer
   x = 3,421.07