Finding the Third Proportional to 5,114.25 and 7,509.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.25 : 7,509.38 = 7,509.38 : x
2. Step 2: Convert to fraction form
   5,114.25/7,509.38 = 7,509.38/x
3. Step 3: Cross multiply
   5,114.25x = 7,509.38 × 7,509.38
4. Step 4: Simplify right side
   5,114.25x = 56,390,712.89
5. Step 5: Solve for x
   x = 56,390,712.89/5,114.25
6. Step 6: Final answer
   x = 11,026.19