Finding the Third Proportional to 6,178.78 and 9,802.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.78 : 9,802.27 = 9,802.27 : x
2. Step 2: Convert to fraction form
   6,178.78/9,802.27 = 9,802.27/x
3. Step 3: Cross multiply
   6,178.78x = 9,802.27 × 9,802.27
4. Step 4: Simplify right side
   6,178.78x = 96,084,411.38
5. Step 5: Solve for x
   x = 96,084,411.38/6,178.78
6. Step 6: Final answer
   x = 15,550.71