Finding the Third Proportional to 1,419.75 and 3,112.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.75 : 3,112.88 = 3,112.88 : x
2. Step 2: Convert to fraction form
   1,419.75/3,112.88 = 3,112.88/x
3. Step 3: Cross multiply
   1,419.75x = 3,112.88 × 3,112.88
4. Step 4: Simplify right side
   1,419.75x = 9,689,990.77
5. Step 5: Solve for x
   x = 9,689,990.77/1,419.75
6. Step 6: Final answer
   x = 6,825.14