Finding the Third Proportional to 7,802.44 and 10,179.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,802.44 : 10,179.56 = 10,179.56 : x
2. Step 2: Convert to fraction form
   7,802.44/10,179.56 = 10,179.56/x
3. Step 3: Cross multiply
   7,802.44x = 10,179.56 × 10,179.56
4. Step 4: Simplify right side
   7,802.44x = 103,623,492.69
5. Step 5: Solve for x
   x = 103,623,492.69/7,802.44
6. Step 6: Final answer
   x = 13,280.91