Finding the Third Proportional to 5,783.38 and 7,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.38 : 7,837.25 = 7,837.25 : x
2. Step 2: Convert to fraction form
   5,783.38/7,837.25 = 7,837.25/x
3. Step 3: Cross multiply
   5,783.38x = 7,837.25 × 7,837.25
4. Step 4: Simplify right side
   5,783.38x = 61,422,487.56
5. Step 5: Solve for x
   x = 61,422,487.56/5,783.38
6. Step 6: Final answer
   x = 10,620.53