Finding the Third Proportional to 1,460.25 and 3,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.25 : 3,077.25 = 3,077.25 : x
2. Step 2: Convert to fraction form
   1,460.25/3,077.25 = 3,077.25/x
3. Step 3: Cross multiply
   1,460.25x = 3,077.25 × 3,077.25
4. Step 4: Simplify right side
   1,460.25x = 9,469,467.56
5. Step 5: Solve for x
   x = 9,469,467.56/1,460.25
6. Step 6: Final answer
   x = 6,484.83