Finding the Third Proportional to 5,053.78 and 7,286.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,053.78 : 7,286.06 = 7,286.06 : x
2. Step 2: Convert to fraction form
   5,053.78/7,286.06 = 7,286.06/x
3. Step 3: Cross multiply
   5,053.78x = 7,286.06 × 7,286.06
4. Step 4: Simplify right side
   5,053.78x = 53,086,706.75
5. Step 5: Solve for x
   x = 53,086,706.75/5,053.78
6. Step 6: Final answer
   x = 10,504.35