Finding the Third Proportional to 5,146.88 and 7,395.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,146.88 : 7,395.75 = 7,395.75 : x
2. Step 2: Convert to fraction form
   5,146.88/7,395.75 = 7,395.75/x
3. Step 3: Cross multiply
   5,146.88x = 7,395.75 × 7,395.75
4. Step 4: Simplify right side
   5,146.88x = 54,697,118.06
5. Step 5: Solve for x
   x = 54,697,118.06/5,146.88
6. Step 6: Final answer
   x = 10,627.25