Finding the Third Proportional to 5,268.38 and 7,745.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,268.38 : 7,745.63 = 7,745.63 : x
2. Step 2: Convert to fraction form
   5,268.38/7,745.63 = 7,745.63/x
3. Step 3: Cross multiply
   5,268.38x = 7,745.63 × 7,745.63
4. Step 4: Simplify right side
   5,268.38x = 59,994,706.64
5. Step 5: Solve for x
   x = 59,994,706.64/5,268.38
6. Step 6: Final answer
   x = 11,387.71