Finding the Third Proportional to 1,458 and 3,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458 : 3,164.25 = 3,164.25 : x
2. Step 2: Convert to fraction form
   1,458/3,164.25 = 3,164.25/x
3. Step 3: Cross multiply
   1,458x = 3,164.25 × 3,164.25
4. Step 4: Simplify right side
   1,458x = 10,012,478.06
5. Step 5: Solve for x
   x = 10,012,478.06/1,458
6. Step 6: Final answer
   x = 6,867.27