Finding the Third Proportional to 2,496.80 and 5,463.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.80 : 5,463.35 = 5,463.35 : x
2. Step 2: Convert to fraction form
   2,496.80/5,463.35 = 5,463.35/x
3. Step 3: Cross multiply
   2,496.80x = 5,463.35 × 5,463.35
4. Step 4: Simplify right side
   2,496.80x = 29,848,210.30
5. Step 5: Solve for x
   x = 29,848,210.30/2,496.80
6. Step 6: Final answer
   x = 11,954.60