Finding the Third Proportional to 4,978.25 and 7,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978.25 : 7,196.25 = 7,196.25 : x
2. Step 2: Convert to fraction form
   4,978.25/7,196.25 = 7,196.25/x
3. Step 3: Cross multiply
   4,978.25x = 7,196.25 × 7,196.25
4. Step 4: Simplify right side
   4,978.25x = 51,786,014.06
5. Step 5: Solve for x
   x = 51,786,014.06/4,978.25
6. Step 6: Final answer
   x = 10,402.45