Finding the Third Proportional to 1,419.75 and 2,054.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.75 : 2,054.25 = 2,054.25 : x
2. Step 2: Convert to fraction form
   1,419.75/2,054.25 = 2,054.25/x
3. Step 3: Cross multiply
   1,419.75x = 2,054.25 × 2,054.25
4. Step 4: Simplify right side
   1,419.75x = 4,219,943.06
5. Step 5: Solve for x
   x = 4,219,943.06/1,419.75
6. Step 6: Final answer
   x = 2,972.31