Finding the Third Proportional to 1,496.25 and 3,065.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.25 : 3,065.63 = 3,065.63 : x
2. Step 2: Convert to fraction form
   1,496.25/3,065.63 = 3,065.63/x
3. Step 3: Cross multiply
   1,496.25x = 3,065.63 × 3,065.63
4. Step 4: Simplify right side
   1,496.25x = 9,398,056.64
5. Step 5: Solve for x
   x = 9,398,056.64/1,496.25
6. Step 6: Final answer
   x = 6,281.07