Finding the Third Proportional to 1,496.63 and 3,276.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.63 : 3,276.38 = 3,276.38 : x
2. Step 2: Convert to fraction form
   1,496.63/3,276.38 = 3,276.38/x
3. Step 3: Cross multiply
   1,496.63x = 3,276.38 × 3,276.38
4. Step 4: Simplify right side
   1,496.63x = 10,734,633.14
5. Step 5: Solve for x
   x = 10,734,633.14/1,496.63
6. Step 6: Final answer
   x = 7,172.56