Finding the Third Proportional to 1,419.75 and 1,868.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.75 : 1,868.63 = 1,868.63 : x
2. Step 2: Convert to fraction form
   1,419.75/1,868.63 = 1,868.63/x
3. Step 3: Cross multiply
   1,419.75x = 1,868.63 × 1,868.63
4. Step 4: Simplify right side
   1,419.75x = 3,491,759.39
5. Step 5: Solve for x
   x = 3,491,759.39/1,419.75
6. Step 6: Final answer
   x = 2,459.42