Finding the Third Proportional to 5,629.50 and 7,806.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.50 : 7,806.38 = 7,806.38 : x
2. Step 2: Convert to fraction form
   5,629.50/7,806.38 = 7,806.38/x
3. Step 3: Cross multiply
   5,629.50x = 7,806.38 × 7,806.38
4. Step 4: Simplify right side
   5,629.50x = 60,939,490.64
5. Step 5: Solve for x
   x = 60,939,490.64/5,629.50
6. Step 6: Final answer
   x = 10,825.03