Finding the Third Proportional to 4,838.66 and 7,071.28

Step by Step Solution

1. Step 1: Write the proportion equation
   4,838.66 : 7,071.28 = 7,071.28 : x
2. Step 2: Convert to fraction form
   4,838.66/7,071.28 = 7,071.28/x
3. Step 3: Cross multiply
   4,838.66x = 7,071.28 × 7,071.28
4. Step 4: Simplify right side
   4,838.66x = 50,003,018.52
5. Step 5: Solve for x
   x = 50,003,018.52/4,838.66
6. Step 6: Final answer
   x = 10,334.07