Finding the Third Proportional to 2,429.14 and 5,297.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.14 : 5,297.98 = 5,297.98 : x
2. Step 2: Convert to fraction form
   2,429.14/5,297.98 = 5,297.98/x
3. Step 3: Cross multiply
   2,429.14x = 5,297.98 × 5,297.98
4. Step 4: Simplify right side
   2,429.14x = 28,068,544.02
5. Step 5: Solve for x
   x = 28,068,544.02/2,429.14
6. Step 6: Final answer
   x = 11,554.93