Finding the Third Proportional to 5,026.75 and 7,389.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,026.75 : 7,389.25 = 7,389.25 : x
2. Step 2: Convert to fraction form
   5,026.75/7,389.25 = 7,389.25/x
3. Step 3: Cross multiply
   5,026.75x = 7,389.25 × 7,389.25
4. Step 4: Simplify right side
   5,026.75x = 54,601,015.56
5. Step 5: Solve for x
   x = 54,601,015.56/5,026.75
6. Step 6: Final answer
   x = 10,862.09